No, I'm pretty sure my door was made of wood and a few metal latches and knobs.
So... I'm guessing you're involved with magic? If so, there are a few other magic users here who may be able to answer your questions better about the time manipulation. One of them is the guy who wrote the note. I only know the effects, that if something happens to you during the week, it's undone and you'll wake up in the same condition you are in now at the start of the next cycle. Unless there's a new 'theme' for the week.
The network's tied together by energy and we can communicate through it. All of the names in your device are other people who got brought here like you and I. We're the ones who get taken from place to place.
If you're in living quarters, those are likely yours for the week.
This is kind of a lot to explain over these devices, would you like somebody to come to where you are and help you get oriented? Make sure you have food and everything?