No and no.
There are however 4 specific IOs that grant you an Aura that boosts the defensive abilities of any of your pets in range (I think 40feet, but I'm not sure). Additionally most procs work in pets (but check with other people regarding your specific case, some of them have odd behavior). The general set bonuses however do not effect pets.
Pseudo pets such as Tornado, Lightning Storm and Freezing Rain do inherit all +dam and +acc bonuses from the caster (and +rech too before the great i14 nerf)
Do the bonuses from sets affect pets? If for example you rely on pets to do most of your damage output, does slotting for global damage bonuses from sets make any sense?