Episode #1.2 - S1-E2
Other mistake: Camille sits down and orders a large cocktail with a list of what she wants in it. This is then brought to her within 20 seconds. Not possible given the distance from the bar and the order. (00:04:00)
Episode #1.3 - S1-E3
Other mistake: Investigating the crime scene, Richard, facing away from Camille, asks what was the victim drinking. Camille is already going for the glass of rum before he asks the question. (00:03:00)
I hope that watching the scene it can be clear. Camille was busy taking some notes, and he is facing away from her. All of a sudden, he says "So, what was she drinking?" and while he is at "So" Camille is literally lunging to her side to go look at the glass. Neither had any possible way to get that kind of timing, and it's not played as a "Hey, we were both thinking the same thing! Jinx!" kind of gag.
Episode #1.3 - S1-E3
Other mistake: Inside Angelique Morel's residence, Camille spots an altar with pictures of an unnamed girl and says "This must be Angelique's daughter, Delilah." They went straight to the murder scene and from there to that shack, without time to consult files. Nobody mentioned the name of the daughter.
Episode #1.4 - S1-E4
Other mistake: The body has been completely immersed in the ocean, but it has streams of dried blood on the skin. Moreover, everyone talks about two shots and two wounds, one being a grazing shot that hit him on the left temple, but he has an unexplained gash to the right temple too. (00:14:30)
Episode #1.4 - S1-E4
Other mistake: Fidel reports to his boss, at the station, that the Knights are preparing to leave their house, and Astrid is in fact wheeling the trolley and carrying bags. Somehow, Richard and the others arrive in their Defender before the two have loaded their luggage. Is the police station in their backyard? (00:40:10)
Episode #1.4 - S1-E4
Other mistake: When finally Richard gets the inspiration to crack the case, he grabs the evidence bag with the phone. The label on the bag says it was processed on 2/4/2011, in contrast with the security camera video date, 3/7/2011 (not to mention Richard's alarm clock in the previous episode, 7/2). (00:40:25)
Episode #1.5 - S1-E5
Other mistake: An enraged Richard tries to get the drawing board in position making a bit of a ruckus. If you look at the board, it has names and pictures on it; they are from the future, since they are part of the 6th episode, "An Unhelpful Aid", evidently filmed earlier, out of order. (00:07:25)
Episode #1.6 - S1-E6
Other mistake: The married couple are penned down on the whiteboard as Alex and Phil Owens, but in the episode credits their last name is Owen. (00:25:45 - 00:52:00)
Episode #1.8 - S1-E8
Other mistake: A mysterious character breaks into Nadia's house after the police left. He does it by literally punching a hole in the door and reaching for the keys that are in the keyhole, inside. How did the police close the door when they left, if keys are still inside?