Character mistake: Upon hearing that Lister, Kryten, Cat and Rimmer have travelled from Albion - England - to India the woman in the market expresses surprise that they have travelled "halfway across the known world" just to buy lemons. In 23AD travelling from England to India was all the way across the known world. The Americas, Australasia and China were completely unknown at the time.
Revealing mistake: When Pree shows Lister his Medi-Bay file, it is a flipped shot. Note the danger sign next to the computer. (00:27:40)
Continuity mistake: When the book "Roots of Coincidence" is first seen it's a paperback but later in the episode it's suddenly a hardback.
Factual error: At the very end of the episode right before the Dwarfers sees Jesus and Judas, there is a plastic cup on their table. The episode is set in 23 AD.
Audio problem: When they are chasing Jesus through the market, Lister's mouth is out of sync when he's shouting. (00:26:15)
Continuity mistake: When Lister notices the video, the silhouette of a flashing blue light is cast on the table (to the left of screen). In the next shot, there is no sign of the flashing blue light. (00:10:40)
Deliberate mistake: When the computer has been launched, Lister walks into the drive room and notices the computer and stands behind Kryten and Rimmer. But when the camera is focused on the computer, there is no sign of Lister what so ever. (00:10:00)
Revealing mistake: Crawford goes through the teleport to transport herself to the Space Station. But in the next shot, Crawford can be seen quickly leaving the shot as if she's still there. (00:23:05)
Continuity mistake: When Howard and Crawford are transported to Trojan, two of the three teleporter doors are open. When Crawford goes through the teleporter, one of the three doors close. Yet when Cat puts the resentment file into Crawford's neck, she starts shooting at everything including the teleporters, and now all the doors are open. (00:23:00 - 00:26:30)
Revealing mistake: When they change Professor Edgington from ape form to human form, the human form is obviously a lifeless mannequin. (00:23:35)
Character mistake: Rimmer asks Kryten to make the new computer blonde. When the computer launches, the computer's hair is brunette. (00:07:30 - 00:08:45)
Other mistake: An option for the new computer is breast size. A meaningless addition, since the computer is just a head. (00:07:35)
Suggested correction: When setting up the computer, there is an option for frame size. Kryten chooses close up, and when Pree appears on-screen Rimmer reacts to the fact that her breasts aren't visible whilst Kryten says that he likes that frame size. Presumably, there were other frame sizes available that would reveal more of Pree's body, giving meaning to the option.