Ooh, nice, looks like they actually DID fix the UI this time, and it's looking quite a bit more slick now! I mean obviously still just a placeholder, but at least it's better than the butt-ugly menus and text before that would always clip out of the screen in any resolution for me...
As far as I can tell stats don't do anything, or if they do it's negligible (pairings between two level 1s and two level 6+s seem just as likely to result in a pregnancy to me, though I'm not exactly rigorously testing it). I know the player's level/stats seem to increase from having them participate in breeding, but that doesn't seem to actually improve your lust cap, best I can tell. Eh, at present time/date mean nothing and as long as you plan ahead you'll never take more than three steps to capture anything so lust cap is pretty irrelevant too.
REALLY looking forward to more updates to this, as it's by far one of the most promising 3D lewd games in development right now. It's not quite there yet, but the potential is immense.