Same issue, I was only able to loot the first chest, not the second or the third, which is why the game stopped for me at the part where you're supposed to cast the spell to proceed. But the fact that there is inventory is cool in itself, even if it doesn't work all the time.
All in all, the game concept is nice, but needs polishing. Your character needs a better idle animation than running in place though, you got jump and fall, but not idle, it looks a little silly.