Factual error: In the first part of the story-telling the main character appears to be in front of a wrist-watch store's window. That store is Richard Mille, a brand that only started making watches in 1999, the story is set in 1987. (00:06:05)
Factual error: The British schoolroom has a UK flag at the front. American schools might do that; UK schools don't. There's even a little one on the teacher's desk.
The Two Faces, Part One - S1-E3
Factual error: The British policeman carries an American-style long baton on his belt. No British police force used batons before 1994 (the series is set in 1987), and batons of this pattern were never used in any case.
Factual error: Dominic Wingrave says "it took me 6 years to do the math." Not something any British person would say - in the UK it's always "maths."