Paul Is Dead - S1-E6
Factual error: The female British astronaut is in her space suit. There is a supposedly British flag on her left sleeve. But the flag is wrong. The red diagonal stripes are centered on the white field. They should be off-centered by 3/5 of the white space. Not centered. This is a common mistake you find in British flags bought outside the UK.
Continuity mistake: As Rick is getting informed about the CRM's future plans, he is holding his knife under the table. The next shot shows his hand on the table, before showing his hand holding the knife under the table again. (00:23:50)
Episode #1.6 - S1-E6
Factual error: In Episode 6, Vincent comes out of his apartment building and before he reaches the curb, and has a chance to hail a cab, one is waiting for him. There was no ability to book a yellow cab in the 1980s.
Factual error: Abby gets out of the train via the driver's door. You see a front view of the train. The number on the train is 321434. This train runs on overhead lines, and it is being shown as a Gatwick Express train from Gatwick Airport to Victoria. The railway from Gatwick to Victoria has a third rail conductor, so this Class 321 train would not have been able to move. (00:50:02)
Episode #1.5 - S1-E5
Plot hole: The Jackel visits Norman's hideout where they meticulously craft disassembled rifle parts in a walking boot. The Jackel takes the rifle out to test with nary a sign of the boot. He is nearly captured, escapes, and flees the country while Norman is captured and killed. But the Jackel arrives in Estonia wearing that one-of-a-kind handcrafted boot.