Revealing mistake: When Rob is talking on the radio, and says something along the lines of WOFF the station with (then a long pause while he plays a car sound) drive. The On the Air sign goes off before he says drive. He was still on the air.
Revealing mistake: If Rob and Laura actually did dye their hands not only would their hands be black but so would their wedding rings. Also, while Laura is "using water" on her hands you can tell she wasn't using water or soap because her hands aren't wet and there isn't any soap to be seen at all... You only see the dish rag. (Same for when Rob does the same thing later on). (00:06:07)
A Farewell to Writing - S4-E33
Revealing mistake: Laura and Millie are inside the "house" and Rob is outside the "house" the door and windows are all closed... Yet we can still hear Rob just as if he was in the house rather than outside.