Pretty cool! I like how many different levels there are.
If you wanted to make the doors only appear after you kill enemies, you can do that with the "triggered by" property. The door would probably be triggered by [some] [obj_id] [id of enemy] [s-state] [died]. The way it is now, I can just skip over some enemies.
Also, I think some doors are not facing the optimal direction, so I go into a door I just got teleported to. I believe changing the direction they are facing would fix this (hit the arrow next to the F). You could also just use an entry point, which serves solely as a receiver, and not as a sender.