Plot hole: According to the flight recording, Odyssey was on an uncontrolled pull towards the Tet as Jack says, "We're not getting away from this thing." So even if Jack jettisoned the sleep module where Julia was in, the module should not be able to get away as the whole ship is being pulled towards the Tet.
Suggested correction: It can be assumed that the jettisoned module has enough "jettison power" to force it away from the command pod. And in turn that force would move the pod further towards the Tet. It's reasonable to assume the Tet couldn't pull the module that was moving away, under dramatic force, and to which it didn't have line of sight (which was blocked by the pod).
Continuity mistake: When Dusty first takes off for the big race his "D7" on the right side of his tail disappears. (00:32:35)
Continuity mistake: Amanda warns the team that if they breathe a word of her secret life, she will hurt them "in ways that haven't been invented yet." The camera cuts to the crew and Savanna is sitting up, next to Melissa. In the next shot, Savanna is right above Ben's right shoulder.
Continuity mistake: As Lex and Joker are talking on the bridge between two towers of Arkham Asylum, Joker is shown standing in the middle of the bridge. But when the guy on the intercom announces there is an escape going on, the camera changes angles and suddenly Joker is right next to the edge. (00:19:20)
Other mistake: The driver for the general at the end of the movie is referred to as captain, but is in the credits as Major Carrie Farris. (02:09:50 - 02:15:35)
Continuity mistake: In the barrel riding scene just after Kili is shot in the leg, Tauriel arrives carrying her bow in her left hand. In the next shot the bow is in her right hand: she nocks, draws, and shoots with her left hand. (00:50:20)
Factual error: David fills his car with gas and puts the gas cap back on, on the driver's side, but the Subaru Outback's gas cap is actually on the passenger side of his car. (00:14:50 - 00:24:50)
Continuity mistake: Young Dan and Jo are fighting over their meal. The position of the tray on the table changes several times, most noticeably when Dan leaps off the table. Moreover, when he returns to it after he jumped off the bed, the tray is empty minus a little red berry, but it still had rice and other food on it earlier. (00:18:30)
Factual error: When Braniac's robot probe enters the atmosphere over Arizona, fighter jets attempt to shoot it down by hitting it with missiles. The pod is still going fast enough to be on fire from reentry. A missile could not have caught up to an object going that fast. (00:11:30)
Continuity mistake: As in most movies I've seen where size is a main factor, the animators did not pay much attention to scale. In the scene where the main character leads the leaf people to her father's house, she is jumping and lands on the thinnest pencils I've ever seen. They have the width of the pencil smaller than her foot. However later on, it is shown that a push pin is almost the size of her body.
Continuity mistake: Angélina just found out that the doctor is helping out of the refugees. During the scene, at the beginning and in the shots from behind, the doctor's stethoscope has the earpieces pinching the collar of the shirt, while in the frontal views those parts snuck inside the collar, touching the neck. (00:31:35)
Continuity mistake: During the first show, when Mariah Mundi puts the bag over Bizmillar's head, the position of the bag and Bizmillar's hands changes between shots. (00:44:56)
Continuity mistake: In "China", when the trackers and the hunters are walking through the forest at night, between shots, the group goes from five people to four people back to five people. (00:30:46)
Continuity mistake: When Billy pulled the medallion out of the ground, part of the cloth covering it was hanging past his hand, but when he blew dirt off the cloth, the cloth was compactly covering the medallion. Also, the cloth should have had more than some loose dirt on it and the medallion - after buried in the ground for 200 years - should have been dirty and tarnished, not clean. (A cloth covering the medallion would not protect it from soaking rains). (00:23:35)
Continuity mistake: Juliano and Joaquin are having their pictures taking celebrating the first earnings from their own gold pit. All of a sudden between shots, the photographer loses the cigarette behind his ear. (00:18:50)
Revealing mistake: Robin is running away from company investigators. He comes across a supposed wire link fence. He breaks it with his bare hands, and by the flapping of the open piece you can see it is made with strings not wire.
Character mistake: Luca calls Eve in the dark outside the house, searching her. But they all know that Eve is deaf. (00:33:20)