I was thinking about item icons and I keep that plan for the future. The problem with icons is that I would need a lot of them and I prefer to put funds into character sprites or backgrounds, not the icons.
The weight is also something that is already in the game. All the items have its weight. For now it's just not working. Before there weren't a chest to store items, so everything had to be on the MC. It brings also different aspects that may be difficult to overcome with current coding - what if the player is already max number of items and there is a key item that need to be picked.
Anyway, both of those things are somewhere on my list of things I can implement sooner or later.