I didn't have as much time as I'd like but here is my entry to the LE Game Challenge. I do plan on expanding on this as I think it could lead to some keep puzzles/gameplay.
Hope you don't need the runtimes for this. Also, I gave the debug version because the release version doesn't play the sounds very reliably for some reason.
'e' key to 'use'
Left mouse button shoot fireball
Right mouse button shoot frostball
Don't bother trying to open the second gate yet