Factual error: In Oregon and New Jersey, state law requires that a gas station attendant pump the gas. Romero pulls into an Oregon gas station and encounters a nosey person. They are both pumping their own gas.
Continuity mistake: Near the start, the camera pans out to see the dome now covered in a layer of black. Outside of the dome you can see nice green fields, a small forest area, little houses and everything looks rosy. However a few episodes back the military launched a MOAB (mother of all bombs) and and the surrounding area was wiped out completely. (00:05:50)
Suggested correction: The entire left side of the dome is where the bomb blew up. Now if you watch back when the bomb hit the dome, picture the lake being to the north on the map. When Joe and Norrie were looking for Ange, and they were on the bench when the bomb hit, SW in the scene is a pretty close point to when they show the aerial shots of the dome.
Character mistake: When Olivia and Dr Galina are in the bathroom, Galina mentions an umbilical chord, from a baby whose mother died (Nadia), that contained Olivia's mitochondrial DNA. Mitochondrial DNA comes from the mother, so Nadia's Mitochondrial DNA came from Letha who got hers from Marie, absolutely nothing to do with Olivia.
House of the Rising Son - S1-E2
Continuity mistake: Near the end of the episode, as Klaus is watching Hayley sleeping, Hayley changes from sleeping on her side to sleeping upright in closeup.
Factual error: The FBI agent introduces himself and says "Mike Weston - I did my thesis on Joe Carol at the academy." FBI agents are required to have a university degree, but they don't write thesis' at the academy. A person is either in a university or at Quantico getting trained. They are not writing papers at Quantico. They need the degree beforehand to get in. (00:10:30 - 00:11:30)