Course Listing Unavailable - S3-E18
Continuity mistake: The stars Britta puts on change during various shots. She wouldn't have had time to readjust them when off camera either, and at the end when she tried to remove them, they're stuck on pretty good.
Course Listing Unavailable - S3-E18
Continuity mistake: As Jeff makes his way to the podium to say a few words about Star-Burns, Pierce is sitting next to him with his hands on a table. Light applause breaks out and in the next shot, Pierce's hands are raised up near his face as he's about to clap.
Course Listing Unavailable - S3-E18
Continuity mistake: When Jeff begins crying with his head down on his text book, Britta attempts to comfort him. She touches his hand and he swats it away, but in the next shot his hand is gripping the pages of his textbook.
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