During shader compilation, the game tends to stutter a ton, resulting in a lot stuff breaking. That'll be an issue on integrated graphics like yours, it seems, as they'll take longer on compilation.
I can't really fix that and honestly the game under the hood needs a bit more tweaking, my personal recommendation is to pause the game when you enter a new area and wait a few seconds for everything to load properly.
The graphical problems you reported seem to also be a result of poor compatibility with Intel GPU's.
I'll be sure to make adjustments if I ever rerelease this game in some form, probably have shaders compile at startup rather than waiting until you're in a level.