Continuity mistake: When Lister tells Cassandra he is not going to kill her, he sticks his chewing gum on the wall and begins walking out. Seconds later, when the fan causes the gum to fly across the room, Lister is now standing inside the room. (00:27:15)
Plot hole: Lister is not allowed any dangerous objects that he might try to commit suicide with, yet when he is with the canaries on their missions, he carries an assault rifle. The canaries aren't always supervised and it would be impossible for a guard to stop any of them putting a gun to their head and pulling the trigger. (00:05:05)
Continuity mistake: In the scene on the Canaries' transport, where they first try to convince Kryten to record the women showering, Kochanski speaks the first line in the scene, but when the shot changes to the wide shot, she isn't there anymore. (Confirmed on the DVD commentary). (00:05:55 - 00:07:20)
Visible crew/equipment: In the Captain's Office, when Rimmer says "That is not true. We played the joke on Mr. Ackerman, sir", a stage light is reflected on the object behind him and Lister. (00:01:05)
Suggested correction: But Cassandra was known to lie if it suited her purpose, she said that Lister would harpoon Arnold through the head and kill him but that's not what really happened either.
Yes, Cassandra lied about Lister shooting Arnold through the head with a harpoon, but that was an attempt to stop Lister from killing her. Mentioning which of the canaries will survive had no impact on any of her plans, so not mentioning Kill Crazy survived is still incorrect on her behalf.