This is a really neat game! I love the tactical chess elements; it's a nice challenge to try and figure out how to move effectively. And the fact that you made all the assets is incredible; the game looks and feels amazingly polished for such a short amount of time.
I do have a few complaints, though. Mainly that the player who doesn't play chess will likely have trouble with this. Maybe not so much with the pawn, but definitely with the knight. It would be great to have a popup or dialogue box that explains the moveset of each new chess piece. (Speaking of the dialogue, there were a few minor typos and grammar mistakes in the writing.)
And I do love the turner-things that you introduce at the beginning; it's a legitimately interesting mechanic to turn the piece into new ways to move. But you never bring it back anywhere else in the game, and none of the other pieces you use really need it.
Finally, the knight section is a real challenge. It took quite a while for me to figure out that I could hop over walls, and a bit longer to finally hop to the exit. It's a very closed space and the most challenging level in the game.
I really enjoyed this one. Nice job on it. :)