Unfortunately, I did not enjoy this game much. The graphics were bland, the music was non-existent and the platforming was a little boring...
HOWEVER, I think this idea could be reworked into something better. My suggestion would be: make a top down game with obstacles on a grid with obviously different ways to get from the start square to the end square. Your movement restrictions could be of a similar idea except you wouldn't have to make it a platformer (personally I think platformer is the wrong format for this premise).