Alternative History of the German Invasion - S4-E4
Continuity mistake: When Malcolm McDowell is writing on the board early in the episode, he draws a line under the word "victors". In the next shot of the board, the line has moved, and the gap between the V and I is larger.
Alternative History of the German Invasion - S4-E4
Continuity mistake: During the podcast scene at the credits, Karl is gripping a trident with both hands. After asking if it was an apology, the camera cuts to Abed and he is now holding it with only one hand. (00:20:50)
Alternative History of the German Invasion - S4-E4
Continuity mistake: Reinhold and his two friends are walking out of the administration building around the study group. Reinhold makes it out of the door with his two buddies close behind. In the next shot, they have all suddenly exited the room.
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