Neither answer is correct, and the question mark is incorrect at the end of a statement. This would be OK: I've done my work. I've finished my work. I'm done with my work. = I've had enough of it, I'm fed up with it, I don't want to do it any more.

Could you explain me why your question is structured with "I'm" instead of "am I"? And why you use "done"? I think that this should be: Am I finishing with my work? or have I done with me work? If your way is fine, do you could explain me please?