Aerodynamics of Gender - S2-E7
Visible crew/equipment: When Pierce's drone is following Jeff and Troy, as the two go through the bushes, you can see the string the drone is attached to as it "hovers."
Intermediate Documentary Filmmaking - S2-E16
Visible crew/equipment: When Jeff runs to the car which his father drives and opens the door of the driver, you can see the camera in the side window of the car. You can see it's a set camera and not a 'handheld type', the one that Abed is using during this episode.
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