I love this!!! The puzzles are like nothing I've ever seen before, and the style change between the serious pixel graphics and the adorable room faces has so much charm to it!
Limeox pretty much summed up my thoughts on the rotation controls. I too was gonna suggest arrow keys since they're 90 degree rotations, so deffs second that :) The zoom also felt a bit wonky to me. It might be easier on the eyes if the room zooms out a default amount every time and stays there.
Aside from that, this game is wonderful. Congratulations on creating such a unique and well executed mechanic in such a short time!
Best of luck in the jam!
-Sasha