Excellent work! I'm quite a fan of these real time strategy games and it was a nice twist that you turned it into a puzzle game. The tutorial is quite long though! I think more work went into the tutorial than the levels :P
I suggest making hints in the game, like hovering the letters Q/E on the platform that lets the player know it can be rotated.
This was definitely an ambitious project with all the different input required, but still very good!