Pretty fun game! Your use of the two buttons limitation is really interesting and works really well into the game to make some nice puzzles.
The music tends to be a bit too repetitive, you could probably throw on another track that starts being played after some puzzles are completed.
The game mechanics should probably be explained in the game itself as not everyone reads the itch.io page.
The text has a bit of anti-aliasing which destroys a bit of the pixel aesthetic.