Congratulations on all those metagame cogs!
Admittedly, the level unlock thing was mostly me being lazy. The menu code was reused from a previous jam, and since the game I made for that was pretty hard, I decided to leave all the levels unlocked in case someone wanted to skip a level. Fast forward to this jam, and I ran out of time to add the level locking so the system remained.
As for the arrow thing, I just realized that you're the first person to have mentioned it so far. I added it initially because I figured the rule where you could only rotate on the ground would be a little counterintuitive, so people would want some kind of visual indicator. But then I made the tutorial, and I explained said rule while simultaneously forgetting to talk about the arrows, so in retrospect, I'm not sure why I left them in. Hopefully they weren't too annoying for anyone else...