Digital Exploration of Interior Design - S3-E13
Continuity mistake: Britta sets down her copy of 1984 and her pen, which is angled with the end pointing away from the book. Two cuts later, the pen is now parallel with the book, without Britta ever touching it.
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