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Continuity: When Kryten is doing his driving test, as soon as we see Rimmer & Kryten in the cockpit you can see the wire attached to Chris Barrie behind him, next to the aerial on his hat, going vertically out the top of the frame. When it comes to the actual ejector seat gag, put it in frame-advance and you will clearly see the wire again for a couple of frames. You can tell it's not the aerial because Chris is looking up at the time meaning the aerial on his hat would now br horizontal (and hidden by his head).
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.
Revealing: When Rimmer stands up from underneath the table, just before he says, "Thanks for your support" to Lister, listen very carefully and you can hear the stunt director saying "Action!" backwards. This shot was the splice point between the reversed and the regular footage. (I know this mistake is listed as being in the 'backwards version' on the DVD, but it is in the regular broadcast version too - you just have to listen harder for it.)
Revealing: Near the end of the episode, Kryten and his employer are seen arguing in supposedly backwards English. However, when you watch the episode how the people of earth would see it on the second DVD, Kryten and his employer aren't speaking English, they are just speaking plain gobbeldy-gook, even although when you see the people of Earth talking on the DVD they speak correctly.
Factual error: The writer's understanding of the history of Nazism and its leaders is a bit shonky. Claus von Stauffenberg did not plant a bomb in Hitler's briefcase - he put it in his own briefcase which he planted in a meeting room next to Hitler (some berk moved it). This was in July 1944, while the last Nuremberg rally - which Lister visits, bringing back the briefcase - was in 1938. Stauffenberg didn't even join the anti-Hitler conspiracy until 1943. Red Dwarf is not an 'alternate history' - they correctly identify elements of the Stauffenberg plot and the Nazi regime, they just get them wrong.