During the dust storm on Mars the sky changes from a dull red to blue on the inside of the window, back to red.
Throughout the story, the Pegasus crew and Mission Control hold conversations in real time. Transmissions between a spacecraft and Earth would, in reality, take a great deal more time due to the lag caused by the vast distances.
In the second part, after the crew turns off their radios, the voiceover says this is unprecedented. However, in 1973 the Skylab 4 crew staged a "strike" in the same exact manner, cutting off communications for an unplanned down day to protest the work schedule.
While the crew is on Mars, Mission Control watches a video of the rover on the surface. This is impossible unless there was a second vehicle.
22 million miles from Jupiter, Exogeologist Zoë Lessard refers to the planet as "she".