Cool idea with having to throw the weapon to recharge it! I wasn't able to get past the snow area, I think after exploring a few rooms I got stuck and didn't find a pickaxe.
One suggestion I had is that throwing the weapon should do damage; if it does and I missed it, maybe adding a damage indicate (like the enemy flashes red) would be good player feedback so they know the enemy is getting hurt. Also the mouse click being used to throw the weapon made me think aiming the weapon could also follow the cursor; just two ideas I had. Otherwise, great job!