The speed feels off and I'm a bit confused at what's happening because I think I'm getting items from the chest but they don't appear in the items section so I'm not sure, but this otherwise succeeds in everything else!
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Could you clarify what you mean by the speed feeling off?
As for the items, combat items weren't implemented yet, I imagine what you're getting from the chests is the level up materials. They come in three different types and show up on the bottom of a monsters stat block.
Currently you can't see how many materials of a certain type you have unless you have a monster of that type. I will probably add in a section in the info menu to show how many materials the player has, and other items when those are added in.
There are certain jumps that are intentionally impossible or only possible under certain circumstances, as well as some very tight jumps or jumps requiring running starts, which might be part of the problem you're having.
Additionally, there's a door somewhere in the level that takes you to a boss battle, after which you go to the next floor.