Great concept for a super-hard puzzle. Especially when the levels get bigger. One wrong move can totally ruin an attempt, and then you have to restart from the beginning of the level again. Reminds me of DROD. I might have played more if it had a DROD-like undo, which steps you back through your previous moves right to the start of the level.
I found it wasn't super obvious what the arrow keys did, because I didn't realise from the art that the ship even had an orientation! Couldn't work out why I'd need to be able to shoot. The puzzle design (level 3 I think) was better at teaching me that than the instructions and graphics were!
It ramps up in difficulty so fast! I was done by level 4. I think it's probably one of those games where it's easy to make a level, but hard to decode the solution. You have to think so far ahead! Those games need very careful level design and testing to make sure the puzzles are simple enough for anyone to get with a little thought. I felt with this one that it could use a lot more user testing. I know how that's impossible in a games jam of course! And given you can't have done much "virgin user" testing you've done a fabulous job!