Thank you :)
1. There's no such information provided. It could be for some open spaces only. When you're inside, due to the nature of impossible spaces, it is impossible to tell the direction. You can still navigate with the navigator modifier on. But instead of thinking about the absolute direction, you should focus on how doors are connected. At some point, I plan to explain it in the game with a few pictures.
2. It is a map device. If you follow the directions above the door, you should find a device with a map displayed on it and a big green button. If you press it, a portion of the map is going to be revealed to you.