Plot hole: At the end, Kryten, Rimmer and Lister are in a lift facing off six gelf shapeshifters, two mimicking Lister, two mimicking Rimmer and two mimicking Krtyen, in a Mexican standoff. Nobody knows who to shoot, as they might shoot the real person instead of the shapeshifter. The problem is that Lister, Rimmer and Kryten are all self aware - they both know they are not shapeshifters. All Lister has to do is shoot the two fake Listers, Rimmer shots the fake Rimmers and Kryten shoots the two fake Krytens, problem solved.
Plot hole: In season 2 episode 2 Better Than Life, Rimmer says his brother Frank was 6 foot 5 by the time he was 11. However, in season 3 episode 5 Timeslides, the picture of Frank Rimmer's wedding shows he is around Rimmer's height which would be about just under 6 foot.
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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.