Paul Appeals to Caesar
The chief priests try to get Paul transferred to Jerusalem because they were planning to kill him in transit. They try to charge him with a bunch of crimes but nothing will stick because they don't have proof of anything. Paul is asked if he wants to stand trial in Jerusalem, but he says he should stay where he is and be tried by Caesar's tribunal.
Paul Before Agrippa and Bernice
Festus described the situation to Agrippa and Bernice, basically saying he wasn't sure how to handle things. They said they want to talk to him directly. So Paul is brought before king Agrippa and tells the story. Basically a bunch of people want to kill Paul, but as far as Festus can tell there is no good reason for it.
Not much in this chapter. I'll say this though, I'm interested in seeing how this will play out.