Other mistake: In modern time Natalie Vasquez dies in episode 13 and her character is just discontinued. In flashbacks after that episode she's never seen again. She's not even seen at the graduation day of the trainees, but we see her at the Grand Central bombing, which supposedly happened just days after the trainees became agents.
Die Glocke - S4-E6
Other mistake: When Jones is trying to convince Herr Waesch that she's the owner of the estate where his gala is being held, subtitles of his reply read "I personally procured this home. It's owners were French." The contraction "it's" should be the possessive "its."
Other mistake: Police find a blood stained T-shirt belonging to the boy Liam behind his bed, this is supposed to be the shirt Liam wore when he killed Pettigrew. In fact Liam went to Pettigrew's place with no top on, so where does the T-shirt come in?
Other mistake: When Deputy Dwayne is talking to Sheriff Miguel Acosta while Acosta pours himself a cup of coffee, he picks up the coffee jug, pours his coffee and puts the coffee jug back far more quickly than is humanly possible.
Older Cutthroat Canyon - S1-E15
Other mistake: In the ship the guy who wanted to kill Jane stops bleeding from his shoulder. And there wasn't any sign of blood on his jumpsuit when he was fighting with Jane either.
Episode #1.2 - S1-E2
Other mistake: The General and Blore search the Doctor and the Judge's bag when the clock in a close-up strikes 8. When the doctor in an outbursts dumps Vera's bag on the floor, he stands by the clock that now shows it's 9:35. (00:05:05)