Revealing mistake: Season 3, episode 1, "A Tale of Two Cities.": In the scene where Ben/Henry is presenting a breakfast table to Kate, he mentions coffee which we can see is in a French press. Ben/Henry "finishes" the coffee by pushing down on the plunger of the french press, but uses only one finger with barely any pressure. In reality, a french press takes a significant amount of pressure to get the plunger from top to bottom, more than could be generated by just one finger. Additionally, we can see that the mesh-screen component of the French press stays at the top, rather than plunging down, which it should in order to filter out the grounds.
Continuity mistake: At the meeting, Jack's dad puts his hand on Jack's shoulder. When the shot changes, his hand has been removed. (00:27:40)
Continuity mistake: When Jack wakes up and hits the communicate button on the wall, his hand is below the box. When the shot changes, his hand is now to the side of the box. (00:06:00)
Answer: He was eating a peice of an orange with the skin still on.
XIII