A cool concept that reminds me a lot of games like Crush for the PSP, with the multiple layer-swapping as a puzzle solving mechanic - though as others have said, the controls take a bit of getting used to!
The core idea is a really cool one, and having the tilemap theme as being part of the aesthetic and story was a cool concept - with a bit of an easier learning curve and some polish, I could see this doing really well as a cute little puzzle game!