WOW! This is such a freaking clever idea! At first I was thinking the game was really badly implemented.. got stuck in random areas. Some places I could jump full height, some i couldn't... And then I realized...
You freaking move both the character itself and its shadow at the same time. That is such a clever idea! And also really well executed.
And then to read here that this is your first game project ever!? SUPER GOOD JOB!
You all should be proud!