This was a really fun idea- I really liked the idea of carrying all the junk around would make the character harder to control/more sluggish, so you have to make a choice about how much to carry and so on.
I would have maybe made it more visually obvious that carrying more stuff made you 'heavier', like maybe have the character carry a bag or a rucksack, and when the inventory fills up the bag gets bigger?
it was still lots of fun though! really cool idea, cool story, cool presentation! well done!