Continuity mistake: Near the end of the episode, when Brian Dempsey is threatening to kill himself, the gun he is pointing at Olivia switches hands. He is holding the revolver under his chin with his right hand in closeups, but in shots of Olivia, he is pointing her gun at her with his left hand.
Fringe (2008)
1 continuity mistake in The No-Brainer - chronological order
Starring: Joshua Jackson, John Noble, Anna Torv, Jasika Nicole
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.
The Arrival - S1-E4
Trivia: Michael Cerveris makes his first significant appearance in this episode as The Observer/Bald Man. However if you watch the series from the beginning, he makes fleeting appearances in every episode, sometimes on a tv screen.
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.