Factual error: Servalan's space station is shown rotating at a fairly fast clip. But the stars in both her office window and in the courtroom window are stationary. Because the station is spinning much faster than a planet's normal rotation, the stars should be visibly moving.
Factual error: Avon and Vila watch the rocket launch from the surface of the planet. The rest of Liberator's crew also watch it from the flight deck, and somehow their view from orbit is at exactly the same angle from which Avon and Vila are seeing it: a ground-to-air shot.