Pretty neat and the style of progression is interesting! However, I do think a way to zoom out the camera is desperately needed with how fast the character is. It zooms out a lot if you game fullscreen, but that conflicts with the shop so your constantly going between windowed and fullscreen. Also, it didn't seem to be conveyed but was the level with the cat the last one? Kinda jumped over the wall so wasn't able to do much exploring.
Otherwise, a great game with an interesting idea!