Independent Dependents - S1-E7
Plot hole: When Helen goes into the air ducts, she simply removes the grates. They would not be loose like that, they would be firmly attached. When the team enters the basement they go through an ordinary door by picking an ordinary lock. A very high security installation like Axe Industries would not have such an insecure entry, even into the basement.
Visible crew/equipment: When Joel and Ellie cross the bridge, you can see crew on the left, in the overhead long shot. This show is an HBO Original, and the mistake has been edited out in the current streaming version. (00:14:35)
Plot hole: The Skrull base is inside an abandoned nuclear power plant with enough radioactivity to force any human (like, say, Nick Fury) to constantly pop iodine pills to fight the symptoms of a poisoning that would kill them in less than half an hour. Despite that, Skrulls also detain prisoners, for years in some cases, in rudimentary shackles without any sort of shield or protection against the radiation.
Suggested correction: Iodine pills don't fight the symptoms of radiation poisoning; they prevent the body from absorbing radioactive iodine. It does not protect from exposure to radiation; it won't save you from it. Secondly, it's all an act by Gi'Ah posing as Fury anyway. Thirdly, they are in the reactor control room where Gravik says the radiation is higher. The prisoners are in a low radiation room, which could be extra shielded from radiation. It could also be that the prisoners are fed iodine to block radioactive iodine.
We can make up if we want that there's a special, super-secret anti-radiation serum and/or super-effective shielding, helping humans even during an exposure that lasts years (a decade in the case of Rhodey!), but there has to be something in the actual visuals that remotely hints at it. It's hard to headcanon that the dingy area of the plant where they are racked together, strapped to bed nets behind tarps, can be "low radiation", or that they are given anything to counter it. In particular, in the ending, the rescued people leisurely walk around the plant with zero radiation protection, even casually in the open yard where "Fury's" Geiger counter was going mad earlier. And the radiation was not something induced by the Skrulls that just ended when the baddie died. Not only is there no techno-babble justification (one could argue it's simply a pedantic detail not unlike the lack of hair growth or muscle atrophy), there's a direct flagrant contradiction in how the environment of the location - which is the only reason why they picked that site as a base - is deadly to humans only to a dramatic degree only when it's convenient.
Factual error: In the beginning when the girl's cell phone goes crazy, she says that she should have gotten a Razr. Razr didn't come out until 2004, and this scene takes place in 2002. (00:01:09)
Factual error: Season 1, Episode 10: Lee is trying to get out of the underworld on his capsule with the rescued others. They all get in, and he closes the top hatch by turning the hatch wheel clockwise. Trying to take off, a wire becomes disconnected outside, and Lee has to go out again. He turns the hatch wheel clockwise, and this time it opens instead of closing. If it was clockwise for close, it should be counterclockwise to open.
Continuity mistake: As Jizzlord says, "so really, this is a good thing", he's holding the posters upright, facing Jen. Cut to a shot from the side and he's holding them horizontally, facing upwards.