The answers to both questions are No. You can get the Spelunker badge by using Ouroboros once you are level 25 though.
As for contacts, once you outlevel them, they will move from the Active to the Inactive window unless:
a) they have a new contact to introduce you to. Once you get it they will poof
b) you stop in the middle of a story arc. Complete the arc and they poof.
"Null is as much an argument "for removing the cottage rule" as the moon being round is for buying tennis shoes." -Memphis Bill
15-19. There are only a few times where you need to train up to move on but contacts and missions' level aren't those.
No deleting of contacts from the list. The old ones go away when you outlevel them unless they have an open arc or a new contact to give you.
total kick to the gut
This is like having Ra's Al Ghul show up at your birthday party.
Point of fact. We now have the option to turn off "Earn Xp". If you want to complete your contacts and not outlevel them, just turn off xp in your options.
Example. You have a contact that works from levels 5-9. When you reach that last 1 or 2 bubbles of level 9, turn off your xp and you can finish your contacts. When they are finished, turn it back on when you are doing last mission or purpose do some street sweeping and ding to level 10 fairly quickly.
Let's say I want to do the Spelunker badge from contacts between levels 9-14, and I level to 15+ BUT DO NOT TRAIN PAST 14. Will I still be doing contact mission for the 9-14 range and not the 15-19 range?
Also, is it possible to delete contacts from out of your contact list? It really bothers me when I have incomplete contacts in my contact list.