Visible crew/equipment: After burning the car, when Dave takes the trash out there is a camera operator at the end of his driveway. (01:11:00)
Factual error: A map in the office of Policeman Pierce Brosnan showing the "Hillside Lake" is Lake Constance (Bodensee) in the south of Germany. (01:11:00)
Other mistake: The construction of a staircase does not require a large nail at the site shown on the steps. Furthermore when Emily snags her clothes basket on the stairs it lifts a small nail up. How did it grow into a 2 inch fat nail?
Factual error: The repairman was freeing the soldiers from inside the locked gate using bolt cutters. The terrorist noticed this on the video feed so they electrified the fence, shocking the repairman. This would not have happened because the bolt cutters have plastic handles just for that reason, to keep you from being electrocuted by mistake. (00:54:50)
Continuity mistake: When Sister Irene's habit is ripped at the back, you can see a bra strap on her left shoulder which disappears when she is seen at the front and when the camera is closer to her back (when she has the pentagram carved into her).
Character mistake: During the opening raid of the FSB safe house, an operator is seen taking hard drives out of a safe. As he does, he states over the radio that they are "SSDs" (Solid State Drives), when in reality they are normal HDDs (Hard Disk Drives), which are noticeably larger than SSDs. (00:07:25)
Continuity mistake: During the getaway in the 4-door olive-green BMW, in one shot, the driver's headrest is bent forward; in the next shot, it is shown back in the straight-up position.
Factual error: When the order is given to activate the US Navy 6th Fleet, the warships are shown with their crews standing on deck in their dress white uniforms, which is only done when pulling in or out for a deployment, or ceremonial port call (fleet week). (01:33:00)
Continuity mistake: When Ana and Christian are having sex on the dining room table, she drops Christian's pants below his butt. Scene cuts and Christian's back is shown, with his pants above his butt. Then cuts back and they're below again. (00:54:40 - 00:56:50)
Revealing mistake: During the police chase with Gabriel on his motorcycle, he stops and turns to start shooting at one of the cops. By appearances, Gabriel is using a standard Glock which had a magazine capacity of 15 rounds. He has no extensions on it at all with the handle and magazine visible. Yet he proceeds to fire the gun 33-35 times at the cop car without reloading and in continuous fire. (00:57:55)
Continuity mistake: When she is in the boat she takes off her blindfold entirely, but after some talking the blindfold is around her neck all of a sudden.
Character mistake: When Logan tries to use both his and his mom's phones after her fingers were broken by the Man in Black, he throws them in disgust when he finds the SIM cards have been removed. However, every cell is capable of placing a 911 call regardless of whether a SIM card is present or not.
Continuity mistake: After Elizabeth drives her motorbike off the peer, across the frozen lake and stops while she looks back at the police, the Ducati suddenly has different tires than earlier in the escape sequence. (00:25:55 - 00:27:05)
Factual error: The helicopter used during the exchange is a Mi2, which has not been in service with the Russians since the 1970s.
Plot hole: Kingsley holds the only key card that can access the control room where the Captain is. He only has one card. He gives this key card to Rhodes so he can go up there and talk the Captain into not taking the sub to the surface yet, while Kingsley and his men head down to stop Scott and Taylor. When they employ the help of Marco and take out Kingsley and his men, Marco bends down and pulls the key card off Kingsley's neck so that now they have it... only Kingsley didn't have the key any more, as Rhodes had it and was still in the control room. A second key card magically materialized on Kingsley's neck.
Suggested correction: Kingsley only took the keycard from his neck to open the door and then hold it in his hand, so I guess he actually didn't give it to Rhodes. Just opened the doors.
Continuity mistake: When Newt is straddling Thomas with a knife pointed down at his upper left chest, it's very obvious that the knife goes into his chest, through Thomas' shirt. A few minutes later, when Thomas is kneeling over Newt, after Newt stabs himself in the chest, the stab hole in Thomas' shirt is no longer there and he isn't bleeding. (01:50:45)
Other mistake: When the detective sends the traffic cam footage, a Gmail alert pops up. However, the dad is currently using Margot's computer, not his. He previously logged into Margot's gmail account on this computer so any alerts received would be Margot's mail, not his.
Continuity mistake: When the singer hits the priest with a bottle and leaves him unconscious, she rushes outside and almost immediately witnesses the FBI guy being shot. Yet in a previous scene the priest is with the hotel worker for a significant amount of time before they also witness the murder.
Continuity mistake: The clock time on the top right of the laptop screen near the start changes from Sun 17:59 to Sun 16:00. (00:08:39)
Plot hole: There is no way Anna could know that Hester was going to be at the auction. The circumstances that led to Hester and Tom being captured can't possibly have spread to the Anti-Traction League, they were immediately taken to the slave auction after being captured. Anna also instantly recognizes Hester when she sees her despite the fact that Hester was 8 years old the last time she would have seen her.
Suggested correction: Anna might have very well just been there to do anti-tractionist things, it was an auction made of towns after all a prime target to hit many options at once or hide bombs on for a bigger city to gobble up and go off later. Once she saw Hester her plans simply changed. As for how she recognized her, it is possible Anna had been tracking / keeping an eye on her. It wouldn't be impossible to ask around for a scar faced girl moving from town to town and might have gotten a pic somewhere.
These are all wild guesses that aren't confirmed by the film itself. They do not qualify as corrections.