I noticed a rather high frequency of shots where the axe hit multiple things without me aiming, and at least one case where it bounced the opposite direction that normal physics would've dictated. Is there a random chance of a homing bounce that targets the nearest thing that is destructible?
A tip for prototyping action games, especially when under a time limit: if the engine you're using gives any control over an object's current sprite or drawing color, it's a good idea to give the player object a variable along the lines of "hurt_time" that, if above 0, counts down to 0 and changes the color/sprite of the player. That way you can very quickly give a easy to set automatic visual of when the player character takes damage that's helpful to testers and players even if it's not polished or working very well.