Revealing mistake: When Rimmer gets into bed, near the start of the episode, you can see that he brushes past Lister's blanket hanging down and slightly moves it. He should not have been able to do this as he is a hologram, it should have passed through him. Rimmer's pillows and bedding move as well. (00:06:50)
Plot hole: If everything goes backwards, shouldn't Kryten and Rimmer have got fired, done their job and then got hired? Rimmer & Kryten discovered that everything was backwards in the cafe earlier in the episode. At the club they did their act and then got fired. Put this 'forwards' and it becomes wrong.
Continuity mistake: Lister and Rimmer's bunk room looks exactly the same in the flashback scenes during this series as it does in the present time. In the first series it looked completely different, so surely the look should have changed slightly for the flashback scenes?
Continuity mistake: When Kryten decides to be a mechanoid again, Lister gets up and grabs his jacket and swings it around his shoulders. The camera cuts to Kryten for a second then back to Lister, who now has his jacket on fully. The amount of time the camera was away from Lister would make this impossible for him to put the jacket on that quickly. (00:22:15)