Factual error: Looking at a nuclear explosion that close will burn your retinas irreparably. One can be blind 30 miles away, just by seeing the flash. The little girl at the start is looking directly at the explosion when it hits, and continues to watch.
Lost/Found - S1-E1
Factual error: A mechanic is outside the ship repairing the shields. A fire starts, and the fire burns just as it would in an atmosphere. Impossible in the vacuum of space.
Factual error: Abby gets out of the train via the driver's door. You see a front view of the train. The number on the train is 321434. This train runs on overhead lines, and it is being shown as a Gatwick Express train from Gatwick Airport to Victoria. The railway from Gatwick to Victoria has a third rail conductor, so this Class 321 train would not have been able to move. (00:50:02)
Episode #1.5 - S1-E5
Factual error: A VHS of the movie Indecent Proposal can be seen on the shelf in Dexter's bedroom. This episode takes place on 15 July 1992, but Indecent Proposal didn't release until 1993. (00:11:06)
Episode #1.6 - S1-E6
Factual error: In Episode 6, Vincent comes out of his apartment building and before he reaches the curb, and has a chance to hail a cab, one is waiting for him. There was no ability to book a yellow cab in the 1980s.