Imperfection - S7-E2
Continuity mistake: Tom Paris is already wearing his wedding ring in the scene where he is assisting the Doctor with Sevens operation. He doesn't get married until the next episode.
Plot hole: The atmosphere of the Class Y "Demon" planet is repeatedly said to be highly corrosive and unable to support life. It isn't even safe for Voyager to stay in orbit for very long and Paris and Kim's spacesuits begin to fail after a while of being on planet. However, their shuttle, having been landed on the planet for several hours by the time Chakotay and Seven find it, shows no sign of damage. Even the leather upholstery of the seats or carpet interior (the rear hatch having been left open) isn't dirty. If Starfleet has built its starships and spacesuits out of that same upholstery, this mission would have been no problem.
Character mistake: Captain Janeway states the temporal differential ratio is .4744 seconds per minute (meaning for every minute on the surface, only .4744 seconds pass on Voyager). Tuvok calculates that 30 minutes on Voyager would be 2 days 11 hours and 47 seconds. However, at that ratio, 30 minutes would be 2 days 15 hours 14 minutes and 15.9 seconds. Later Tom (who was on the surface) says the last two months for them was only 2 days for B'Elanna (who was on Voyager). But with the temporal differential, 2 months on the surface would be less than 12 hours on Voyager. 2 days on Voyager would be almost 253 days (almost 8.5 months) on the surface.
Factual error: Chakotay says "if our orbit starts to decay, Voyager will begin to feel the effects of the differential, and we'll begin aging hundreds of times faster than we would in normal space". Whilst it is true that they would be aging faster relative to normal space, they would not instantly become old. Time would simply slow around them, so whilst they would be aging faster relative to normal space, they would not all of a sudden become really old - which is how it is made out to be. They would all age the same amount whether in a standard orbit or in a more decayed orbit. (00:06:37)
Suggested correction: There is nothing incorrect about what he said. They will start ageing hundreds of times faster than in normal space.
Aging implies getting/feeling older. They'd only be "aging" relative to normal space. What would happen would be more akin to time travel, with the universe getting older around them.
But the point is, they wouldn't age faster just because "normal" time slows down. If they spent a year on the planet, they'd age 1 year, not 100 years.
Plot hole: When orbiting the planet, Seven says that for every second on Voyager, nearly a day passes on the planet and later Janeway says 3 seconds is nearly 2 days. However, throughout the episode, time seems to move much faster on the planet to fit the plot. It would take more than 6 days for 1,000 years to pass. And in a few hours (3) less than 20 years would pass (hardly enough time for the rise and fall of a civilization). For example, when they receive the transmission, they slow it down and immediately start playing it. The next scene the senior officers are listening to it and the Doctor says nearly a century has passed, but there's no reason (or indication) that they waited almost 15 hours to listen to it.
Character mistake: Neelix says that the Great Wall of China, prior to the 22nd century, was the only man-made object visible to the naked eye from orbit. This statement has been long-since debunked, but it's not unreasonable to think the myth perpetuated itself in the future. Still wrong though.
Visible crew/equipment: When the former Borg drones are awakened in sickbay, there's a pinkish T-mark visible on the floor behind Seven, at the bottom left corner of the screen. (00:19:10)
Other mistake: When Janeway plays the message from the Admiral, she tells the computer to advance to time index 121.4. each 0.1 of the time index equals 1 second. We hear the message play for 4-5 seconds, but when the video is shown, the time index is only 121.5.
Continuity mistake: When future Kes is talking to Neelix in the kitchen, when he says he's already reserved the holodeck, he's holding the smaller container. In the next shot, the smaller container is on the counter and he's holding the bigger pot.
Character mistake: When the now human Borg children are sculpting, one of the children tell Seven he made a cube that's precisely 1/1,000 the size of a Borg vessel. Borg Cubes are described as 3 kilometers in length, if not bigger. 1/1,000 of that would be more than 9.8 feet in length. 1/10,000 the size would have been a more accurate description.
Continuity mistake: When Seven and Naomi are playing Kadis-Kot, the pieces on the board and on the table change after Seven wins in the next shot.
Other mistake: When Neelix and the Captain are following the unknown creature, it turns down a hallway and Neelix says it just ran into a dead end. The two follow and enter the transporter room on their right. However, when they exit the room, they turn to their right again, which should lead to a dead end. They needed to go to their left to go back to where they came from.
Continuity mistake: The sun's location changes when Rain and Tom are in the stalled van. After Tom shoots the truck and Rain stops the van, you see the shadow is directly under the van. When the truck is heading towards them, we see the van's long shadow across the highway, to the right of the van.
Continuity mistake: When Samantha is holding her baby while the captain talks to her, her hands are apart with her right hand under the baby. In the next shot, her right hand is on top of her left hand and not under the baby.
Continuity mistake: In sickbay, when Kim tells the captain he's analyzed the tricorder, the tricorder is open. In the next shot it's closed.
Character mistake: B'Elanna replicates and assembles a television from 1956, including a remote control. Tom however says they didn't have remote controls in the 50's. The first wireless remote was invented in 1955 and the "Zenith Space Command" (a remote looking similar to the one in use) came out in 1956, which fits the timeline. Tom is vastly aware of 1950's technology (he seems to know when the television remote came out) and wouldn't make that mistake or B'Elanna would have corrected him given how much research she had to do to set the whole thing up.
Continuity mistake: The Doctor incapacitates B'Elanna to prevent her from fixing his subroutines. While unconscious, he looks at her from afar with evil intent. When he looks at her from a distance, her arms are along her sides. After the commercial break when he comes up to wake her, her hands are folded across her chest. (00:25:40)
Revealing mistake: Tuvok is behind a forcefield in Sick Bay, with the Doctor, Kes, and Captain Janeway looking at him. He tries to break the forcefield and is rendered unconscious and thrown to the floor. Janeway and the Doctor rush to pick him up and put him on the bed. Before they start to pick him up, he lifts his head and starts sitting up (to assist them, not because his character is conscious). (00:38:26)
Continuity mistake: The array surrounding the micro-singularity is shown collapsing twice, once when weapons fire causes Voyager to lose control over the anti-thoron radiation it is emitting and again when Voyager is attempting to beam Seven of Nine and Tuvok off the Hirogen ship.