1. How do I get the relaxation vault walls, and the wake-up bed? I have looked around and I have no clue what model it is.

2. How do I make test chamber doors, information screen, and droppers?

3. How would I go around when a cube is dropped into a slot, some panels are raised to the platform nearby?

Look mate, before you start a new topic here, search the site, google your problem and, of course, check that almighty reference the VDC. But here are the answers anyhow:
1) not too sure on the models, i think the room is just some sortof frame with glass brush walls. try searching in the model browser for frame, etc. for the bed, look for bed, wakeup, etc.
2)?https://developer.valvesoftware.com/wiki/Test_Door_(Portal_2)

https://developer.valvesoftware.com/wiki/Test_Sign

https://developer.valvesoftware.com/wik ... _(Portal_2
3) set the button with the output onpressed>panel_name_here>setanimation>appropriate_animation_here

There's no page on the 3rd link. Sorry, I couldn't find what I was looking about.

sorry, heres the proper link: https://developer.valvesoftware.com/wiki/Dropper
Also, the models youre looking for for the relaxation vault- the bed is props/bed_body_reference and props/bed_cover_reference. The model for the frame of the chamber is props_test_chamber/frame_relaxation