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: Near the end of the film, Jack helps Julia into the stasis module, and the bombs are visible by her feet. If she was switched to another module, so that the bombs were still inside but she remained on Earth, she would have woken up in the process.
Suggested correction: There's no evidence that she would have woken up. We don't have enough information about the statis process or its effects on the person once the pod is open to determine if she would have woken up during this time.
Suggested correction: My question is, where is this new stasis module from? It's a 60 year old special equipment on a spaceship to Titan. For that reason it is unlikely that these stasis modules are numerous on earth and in the hand of the scavengers. All other populated pods are destroyed by the drones. May be there are two more empty stasis modules for Jack and Vika on the jettisoned space vehicle? OK, that could be.
Plot hole: During the movie, bubble ships and drones are tracked by the Tet using a transponder or similar, and Tech 49 is tracked by drones via DNA tracing. At the climax of the movie, Tech 49 approaches the Tet in Tech 52's bubble ship along with a cargo that only Tech 49 would be carrying. Whether by DNA analysis, or simple logic, the Tet would have known it was actually Tech 49 in Ship 52, and it seems highly unlikely that this combination would have been allowed access to the Tet.
Suggested correction: DNA analysis will not see a difference between Tech 49 and Tech 52 for they are clones, i.e. genetic identical.
Factual error: When Jack retreats to the cabin for the first time in the film, he puts a Led Zeppelin record - Led Zeppelin II - and plays the first song on that side of the record, which turns out to be 'Ramble On'. Any Zeppelin fan would know that 'Ramble On' is song number 7 on side B, therefore the needle should have been placed somewhere in the middle of the disc. The first song on that side of the album would be Heartbreaker. (00:33:55)
Suggested correction: Not "any Zeppelin fan" would know this, only those that know the song order on this album.
This isn't a valid correction. You're just nitpicking at the wording of what a Zeppelin fan would know.
Other mistake: When the alien drone is deciding whether to shoot or not, the screen showed that the operation system was in English. It should be in an alien language or have no language.
Suggested correction: The drones are maintained by the Techs. The Techs speak English. So the drones have an English OS (and surely no alien language, which would be traitorous to the story in the brains of Jack and Vika).
Plot hole: Throughout the movie we see Vika monitoring Jack through the cameras and sensors on his aircraft, however, during his entire fight with 52 she just happens to be AFK and doesn't notice that what is effectively a doppelgänger has taken out her partner and commandeered his aircraft?
Suggested correction: At that point they are outside her sensor range.
There's no evidence to support the claim that they are outside her sensor range.