I'm really impressed by this submission - pretty well polished and has an incredibly complex set of game mechanics for such a short jam. Will definitely keep an eye on this one if it continues to be developed!
I think the other comments have given most of the critical feedback I would provide; I guess my one addition would be that I think having a prompt for the menu button available while you're playing would be nice (I clicked it at one point during my playthrough while just checking out all the UI elements and it seemed that I wasn't able to resume my session after that; when I clicked play it gave me a fresh start).