This is a great concept...I'd love to see it finished.
You should check out this little flash animation...could serve as some good inspiration for your dreaming state.
http://www.newgrounds.com/portal/view/187874
Anyways...in the false awakening state (just from my experiences) besides the usual lights not working, etc....you can turn the faucets as much as you want, and all you'd hear would be the squeak of the faucets and nothing would come out. When you look in the mirror your image would not only be blurry, but very distorted and a bit frightening. Like someone took the "smudge" tool in photoshop and messed with your reflection. Also, maybe in the FA state...things can just randomly appear beside you...like a person....or insects...but nothing too crazy. One thing I've learned about FAs...sometimes it really is damn hard to tell the difference between that world and being awake.