Analysis of Cork-Based Networking - S5-E6
Continuity mistake: Abed opens his locker to reveal Britta's spoiler sheet. It rolls open but it doesn't fold open to see what it says exactly, but two shots later it is now open fully. (00:05:30)
Analysis of Cork-Based Networking - S5-E6
Continuity mistake: As Professor Hickey is waiting on the janitor to finish his meal, he looks away towards the hallway. After the janitor speaks, the camera cuts and he is now looking directly at him. (00:03:05)
Answer: The implication is that Jeff will still be teaching at Greendale after Annie and Abed leave. As for who became vice dean? It's never shown, since it's not really important to the series.
TedStixon