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: Barbara shoots her revolver at the guys chasing them. When she stops and gets out of the car, she opens the cylinder and we see she only has 1 round left. However, the other chambers should still have the empty casings in them instead of being empty.