When an open bounty is on a question and this question gets closed, will I get my reputation back or can people still answer this question?
If a question is put on hold, or it is closed, it cannot be answered any longer. It has to be re-opened first to allow answering.
If you put the bounty on it, you loose the reputation the moment you agree to the system to put a bounty on the question. That rep is gone, whatever happens to the question.
If you answered the question before it was put on hold / closed, then I assume OP can still award it to you, I wouldn't see any reason why not at least.