I know its probably way too early to be asking questions about the jam, but if I don't ask now then I'll forget.  ^^;

My question is; can I remake one of my own games, or does it have to be a game by someone else?  

I would assume that you could.

Oh sorry, I somehow missed your post. Yes, remaking your own game is fine, and perhaps even better as it allows you to see how you improved!