That was a lot of fun to play! The system you have in place for the useable items is executed very well! Breaking through the wall of ice with the pick was very satisfying! Also, I like that I had to remember to pick my ladder back up before continuing onward. That feature encourages the player to value their items more!
A couple of suggestions. It would be nice for the tab inventory to close out once an item is selected. and I noticed the ambient music loops awkwardly, somewhat breaking the immersion.
But other than that, the bones of a great game are here! Good work! I'm excited to see your progress!