It depends on how the TV writer's want to take it.  In the book warg's don't last long after their body has died, but there's been enough changes so far that that would be a very minor point to change.

"My question: can he jump back into another body, now that his is gone?" - It was answered in this episode by Jojen, only Bran can warg into humans.

"My question: can he jump back into another body, now that his is gone?" - It was answered in this episode by Jojen, only Bran can warg into humans.

"can he jump back into another body, now that his is gone?" - That was answered in this episode wasn't it? Jojen said that no one other than Bran can warg into a human.