Factual error: Kryten tells everyone that the matter paddle transmits matter in digital form from one place to another at the speed of light - he is very clear on this point. He then locates Waxworld, which is 200,000 light years away. Okay - so when they use the matter paddle to transmit themselves to Waxworld, why doesn't it take them 200,000 years to get there?
Revealing mistake: In the sleeping quarters, Rimmer turns on a swivel chair. This would be impossible as he is a hologram. 3.10. (00:03:10)
Suggested correction: As a hologram, this would also mean Rimmer could not touch or sit on the chair. The chair was likely a hologram as well, used to be operable by Rimmer. It has been shown before that Rimmer can still interact with other holographic objects.
Revealing mistake: When Lister is in jail with the Cat, as he is looking out of the window, he is naming famous people. He says "Mussolini" before he actually looks at him. (00:10:55)
Suggested correction: First, Lister is shown looking out the window throughout the scene, and second, he still has an entire view of outside the window within his eyesight. Lister likely already seen Mussolini within his eyesight before turning to face his direction, which he likely did to assure himself it was definitely Mussolini.
Suggested correction: Kryten says that the paddle sends them via subspace, so they will reach it almost instantaneously (rewatch the scene, he never says they'll travel at lightspeed).