Looks like you've gotten to grips with ED very quickly! 
I'd say that Dull Pain is almost as important as Quick Recovery at low levels, so I'd try and fit it in slightly earlier and slot it for heals. It's a major, major heal that also increases your survivability by increasing your maximum HP for a long time, so even pre-SOs it can improve your chances considerably. Dull Pain is the power that you'll fire off after taking the alpha --> back to full HP and more survivable than before.
Apart from that, I don't see anything up with your build that a few extra slots wouldn't sort out (which you'll be getting over the next few levels). Nice! 
I have a Broadsword/Regeneration Scrapper myself, he's 49 now. I'll supply you with my build!!
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Exported from Ver: 1.7.6.0 of the CoH_CoV Character Builder - (http://sherksilver.coldfront.net/index.php)
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Name: Aurrius Valorum
Level: 50
Archetype: Scrapper
Primary: Broad Sword
Secondary: Regeneration
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01) --> Slash ==>Dmg(1) Dmg(3) Dmg(5) Acc(7) Acc(9) Rechg(15)
01) --> Fast Healing ==>Heal(1) Heal(13) Heal(46)
02) --> Slice ==>Dmg(2) Dmg(3) Dmg(5) Acc(7) Acc(9) Rechg(15)
04) --> Quick Recovery ==>EndMod(4) EndMod(11) EndMod(13)
06) --> Build Up ==>Rechg(6) Rechg(11) Rechg(43)
08) --> Reconstruction ==>Heal(8) Heal(17) Heal(17) Rechg(25) Rechg(29) Rechg(36)
10) --> Dull Pain ==>Heal(10) Heal(23) Heal(36) Rechg(36) Rechg(37) Rechg(43)
12) --> Recall Friend ==>Range(12)
14) --> Teleport ==>Range(14) Range(45) Range(45)
16) --> Integration ==>EndRdx(16) Heal(37) Heal(40) Heal(50)
18) --> Whirling Sword ==>Dmg(18) Dmg(19) Dmg(19) Acc(21) Acc(21) EndRdx(23)
20) --> Swift ==>Run(20)
22) --> Health ==>Heal(22)
24) --> Stamina ==>EndMod(24) EndMod(25) EndMod(34)
26) --> Disembowel ==>Dmg(26) Dmg(27) Dmg(27) Acc(29) Acc(31) Rechg(31)
28) --> Instant Healing ==>Heal(28) Heal(31) Heal(37) Rechg(40) Rechg(40) Rechg(43)
30) --> Parry ==>Acc(30)
32) --> Head Splitter ==>Dmg(32) Dmg(33) Dmg(33) Acc(33) Acc(34) Rechg(34)
35) --> Hasten ==>Rechg(35) Rechg(45) Rechg(48)
38) --> Moment Of Glory ==>Rechg(38) Rechg(39) DefBuf(39) DefBuf(39) DefBuf(46) DmgRes(48)
41) --> Focused Accuracy ==>EndRdx(41) EndRdx(42) EndRdx(42) TH_Buf(42) TH_Buf(46) TH_Buf(48)
44) --> Resilience ==>DmgRes(44)
47) --> Revive ==>Rechg(47)
49) --> Conserve Power ==>Rechg(49) Rechg(50) Rechg(50)
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01) --> Sprint ==>Run(1)
01) --> Brawl ==>Empty(1)
01) --> Critical Hit ==>Empty(1)
02) --> Rest ==>Rechg(2)
01) --> Power Slide ==>Empty(1)
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I know most people take Hack over Slash, because it deals mroe damage in one hit. However, you can use Slash twice in the time you can use Hack once, and two times Slash is more damage than one time Hack.
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I know most people take Hack over Slash, because it deals mroe damage in one hit. However, you can use Slash twice in the time you can use Hack once, and two times Slash is more damage than one time Hack.
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If you just look at it from twice the damage perspecive yes Slash would be better but the unslotted figures from nofuture say that Slash does 125 lethal damage over nearly 2.8 seconds activation time for two applications where Hack does 102 lethal damage over a 1.8 second activation time for one application so you cannot fit in two Slash's in the space of 1 Hack, it's impossible.
Using two recharge SO's in Headsplitter-Disembowel-Hack and Hasten up I can constantly chain these three untill hasten drops. When Hasten isn't up I throw in a Parry or Slice(with one recharge in it) to complete my chain. Until recently I did have Slash, but couldn't fit it in my new build and it was only ever needed when I got hit with -recharge, so now Parry gets its place but using that will drop your DPS down considerably and I will only stack it if I think I'm gonna be in trouble.
My conclusion Hack is better than Slash, and the Headsplitter-Disembowel-Hack chain is the most DPS you will kick out with BS, trust me.
Hack and slash pan out to be the 'same' attack both auto'd over a long period of time however hack is often better for high burst damage purposes and the more attacks you have within your attack chain the better hack becomes as recharge isnt an issue. Slash for me is better low level game but YMMV on how you have builst ya scrapper. Both of them i think reduce defence of targets but hack i think might do slightly better for duration.
He will honor his words; he will definitely carry out his actions. What he promises he will fulfill. He does not care about his bodily self, putting his life and death aside to come forward for another's troubled besiegement. He does not boast about his ability, or shamelessly extol his own virtues. - Sima Qian.
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Using two recharge SO's in Headsplitter-Disembowel-Hack and Hasten up I can constantly chain these three untill hasten drops. When Hasten isn't up I throw in a Parry or Slice(with one recharge in it) to complete my chain. Until recently I did have Slash, but couldn't fit it in my new build and it was only ever needed when I got hit with -recharge, so now Parry gets its place but using that will drop your DPS down considerably and I will only stack it if I think I'm gonna be in trouble.
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To comment on this. As you have seen from my build i didn't have HeadSplitter or Hasten yet.
And to show you my attack chain:
Disembowel - Parry - Hack - Parry - Slice - Parry
By this time you should have at least 2 minions down (and when getting lucky to crit on all the powers except parry there will be much more bodies lying around)
The big plus from this chain is that you have at least a single parry on you all the time.
If i have to say which power i like most in the BS-set I am in big doubt between Parry -because i like seeing enemies miss me- and Disembowel -who doesn't like finishing off an enemy with hitting him high into the air-
I prefer oneshotting an enemy and pounding them into the ground (Head Splitter!)
Ever since i have stopped playing CoH back in I4 I wanted to play a BS/Regen scrapper.
Now you might ask; why on earth would you want to play that particular combination of powersets. The answer is simple, since i have seen a BS/* scrapper juggle around a Paragon Protector (i think it was with a cycle of Disembowel - other attack - Headsplitter - other attack - etc) i wanted to do the same. Now when i found out some internetsites were giving out 14 day trials to the game, i had to get back on, and finally try a BS/Regen. The */regen part was easy for me. I already had a Spines/Regen back in I4 (the name was Hephaestus) (yes, before ED, and click IH) and found it was a very powerfull secondary to play with.
When i got into the 14 day trial i immediately rolled my BS/Regen scrapper (Iapetus), and started to try it out. in these 10 days (won't be able to play the other 4 days) i found out this about BS/Regen builds.
First of all, my build:
Archetype: Scrapper
Primary Powers - Ranged : Broad Sword
Secondary Powers - Support : Regeneration
01 : Fast Healing hel(01)
01 : Hack acc(01) dam(3) dam(3) dam(7) recred(7)
02 : Slice acc(02) dam(9) dam(9) recred(11) endred(21)
04 : Quick Recovery endrec(04) endrec(5) endrec(5)
06 : Combat Jumping endred(06)
08 : Parry acc(08) acc(11) recred(13) recred(15) defbuf(15)
10 : Hurdle jmp(10)
12 : Reconstruction recred(12) recred(13) hel(23) hel(23)
14 : Super Jump jmp(14)
16 : Integration hel(16) hel(17) hel(17) endred(19)
18 : Build Up recred(18) recred(19) recred(21)
20 : Dull Pain recred(20)
22 : Health hel(22)
24 : Stamina endrec(24) endrec(25) endrec(25)
26 : Disembowel acc(26) dam(27) dam(27)
28 : Instant Healing recred(28)
As you can see, i got to level 28.
Now my findings on BS/regen scrappers:
-Don't rely on the healing powers of Integration to much, although it is a great Mez protection (takes 4 +2 stuns (green ink men) to get you stunned) the healing rate, when taking an alpha is to slow to be able to withstand another wave of attacks of that caliber
- Parry is [u]the[u] power to get as soon as you can get it. I managed to fit it in after every attack in my set, and by doing that i had a nice attack chain + a double stacked parry. The defence improvement on Parry is really nice, and really helps your survivability
- -recharge powers hurt. Because BS is already slow on the recharge bit, enemies that do -recharge (psi, cold and nictus damage) really hurt in your attack chain. whenever you've worked off your first attack chain 1 or 2 minions should already be lying on their backs. but with the -recharge you gotta wait a whole time before your attacks come back, underwhile wearing out your parry, and thus leaving you even more vulnerable to melee and lethal attacks.
- Take Build Up, it really helps your damage output. In the time BU is active you normally are able to fire off about 4 attacks, of which all the damage is doubled. If you than crit on a power like Disembowel or Hack minions are sure to be dead, and luits are near dead.
- Don't forget to switch off Superjump, and turn on Combat Jumping. BS is an end heavy set, and in prolongued battles you may wear out your end bar. (Did that sometimes before i got Stamina, and even after, with SJ on your bar drops, while with CJ it kind of rises)
Futher i have got to add: BS/Regen is a very fun set to play, especially when you are able to slot it right. Although i didn't have highlvl chars or big sponsors to help me out i managed to get some SO's (especially because I skipped TO's and DO's) and when those are active you most of the time see damage numbers of above the 100 points without Build up, Inspirations, or outside powers.
So, in summary, the powers to take, in my honest opinion:
Hack (highest damage till you get to lvl 26)
Parry (increased survivability)
Integration (Your main mez protection/healing)
Build Up (increased Acc and damage, you gotta love it)
Disembowel (if you get lucky you can take an enemy out of the fight for about 2-3 more attacks in your chain, thus defeating another enemy, and while an enemy is on it's back, it won't be able to hurt you)
I hope i have helped you a little with my views on a BS/Regen. They work well in teams (Boss/Luit killers), as wel as solo (1-hitting minions) so if someone would ask me which AT/Powersets i would advice BS/Regen