After Kelso is released from the police station he is given a ride by the Russian intelligence. You can clearly see that he is getting into black BMW 5 series (e-39) but in the next shot he is getting out from a black BMW 7 series (e-38).
The pistol that Kelso gives to Zinaida on the train has a woodgrain handle; it is not the same pistol shown in other scenes.
Kelso states that Arkhangelsk was founded by Peter the Great, but Arkhangelsk was founded no later than 1584, almost a century before Peter was even born.
After Kelso and the reporter follow Josef into his cabin, Josef brings them a storage box containing some of his late father's effects. Kelso takes a medal from the box and states that it is the Hero of the Soviet Union Medal. However, it is clearly not the HSU Medal. The pendant (lower part) of the real HSU Medal is in the shape of a simple large star; the medal Kelso holds has a much more elaborate pendant.