Thanks for playing and I'm glad you liked it!
The menu exits were meant to be unreachable. I was going for a "you are stuck in a prison" vibe.
After I submitted the game I've dug deeper into character movement and found this video that explains the jump mechanic pretty well.
In the game there is jump buffering, coyote time and variable jump height.
Yeah the character getting stuck should be an easy fix with a walking sound effect. Honestly the long walks I have intended to limit to actual level design chooses, but I couldn't make a deathzone, respawn mechanic in time. That would eliminate all the unnecessary walkbacks and dead ends, so you would know if you can walk there, then there is content.
Thanks for the feedback!