When my friend is playing fortitude on kc supes and he comes back to life with laz pit, does kc supes still have fortitude?

Also If laz pit is being played on viper and she dies/comes back to life. Does she still get armor piercing? If she rolls for her powers back and then gets them at the begining of her turn does everyeon adjacent take a click of damage for poison?

hopefully this isnt too confusing

thanks

From the DC FAQ:
As long as the Special marker is on the battlefield, the character that had Lazarus Pit assigned to it cannot use any other Feat cards it may also have assigned to it.

In other words, yes, the figures would still have the Feats (Fortitude, AP, whatever) but until the roll is made to remove the Special maker, they can't be used. Once the roll is made, assuming the character is on a click that meets any prerequisits, the Feats may be used again.