When Pepe wants to call the transport company across from Karl's apartment, David gives him a six-digit telephone number from the phone directory, but you can only hear Pepe dialing four digits.
The BKA (Bundeskriminalamt) is located in Wiesbaden, not in Köln (Cologne) as mentioned in the movie.
The train station Karl and David arrive at and rent a car from afterwards is not "Fallingbostel" but in fact a small town called "Neustadt am Ruebenberge" a few kilometers south of Fallingbostel.
Karl Koch collapses right after the Chernobyl accident (April 1986). On what seems to be the next morning in the movie, "Glücksrad" is on the TV in the hospital. The show started on German TV no sooner than 7 November 1988.
Late '90s cars parked in the street in scenes set in the '80s.
The film is set at the end of the 1980s. In the film a Volkswagen Golf III can be seen, which was first sold in 1991.