When Dr. Graystone first enters Zoe's room and finds Lacy, the bedroom door is open behind him with a metal hook at the top but nothing hanging on it. In the next scene the same door now has a large item that appears to be made up of green discs hanging on the hook.
During the scene when Daniel Graystone is talking to Joseph Adama about bringing Zoe into the "real world", you can see a number of technical textbooks and manuals in the bookcase behind him. They have titles referring to Windows, Linux, Sharkware, and Powerpoint, among other things.
As Daniel Graystone and Joseph Adama are leaving the coffee shop, you can see "RAMADA" (a hotel chain) reflected backwards in the coffee shop glass door as the door closes. A short time later, you can see the "DA" part of RAMADA on a sign across the street.