Character mistake: When Walter is saying his father was a scientific pioneer at the university of Berlin, Peter reacts by saying: "Yeah, I know. Who came here in 1933, which is long before the Nazi's ever took power." In fact it is EXACTLY when the Nazi's took power: 30 January 1933. (00:19:00)
Continuity mistake: The bullet hole in Davidson's chest is not at all where he was shot.
Olivia Dunham: I just want to go back to before.
Phillip Broyles: Dunham, I don't think you can.
More trivia for Fringe
Question: Why would Luke Dempsey be arrested along with his father? He had no idea what his father was doing, never aided him in any way and only found out the truth after catching him in the act.
Answer: He helped his father evade capture, impeding the investigation.