Although I can't answer that for you (I think the organisers would have the last word on this) I'll give you my 2 cents and share my position here.
- As my very first I'll pick my first public game. I wonder whether I would accurately remember what my "very first" game was (a little shooter where a submarine was meant to avoid missiles does come to mind but it's not something I ever thought was "done".
- I wouldn't pick anything that never went past the concept/prototyping stage. So when you write "weird concepts" I'm wondering if you are actually referring to game ideas you had, or stuff you actually wired up.
I do think it's up to you what you consider your first game to be, as it would be a bit sad if you submitted no entry because your first game isn't something you feel like re-making.