Thanks for the feedback and for finding these bugs, I will fix them asap.
The reason you can't throw bombs are because they are used in physics puzzles later into the game.
I will write some lore about why you can't throw them.
There is also a reason why they kill you because that will be a thing in later levels as well.
I might make a checkpoint system, most levels are small so if you die you wouldn't lose too much time.