The junction box where Stephan listens into the emergency call from Dr. Bernhardt's office is marked "DDR Telekommunikation". The term "Telekommunikation" wasn't in use in German speaking countries before the 1990s.
When Rachel is been driven in the car in Israel, a green Egged bus is reflected in her sun glasses. Until the end of the '90s all of Egged's buses were red or white with faded red stripes and the company did not change the color of its buses to green until after 2000 but the scene takes place in 1997.
When Rachael is walking through the airport, the plane on the Tarmac behind her is either an Embraer E190 or E195 which were launched in 1999 and did not enter service until 2003. This film is set in 1997.
In the first scene, the aircraft they get off - and the one landing in the background - is an Antonov An-26. This aircraft was not produced until 1969 whilst this scene is set in 1966. Given it is also a Russian produced aircraft there is no chance the Israelis would be operating it.
The Barkas B1000 ambulances bear the marking "Krankentransport" as well as a green-on-white cross sign. This is incorrect. Barkas ambulances in the German Democratic Republic were marked with a red-on-white cross and the words "Schnelle Medizinische Hilfe" meaning "Fast Medical Assistance".
It is only on Rachel's third visit to the fertility doctor (and possibly even later) that he finally asks her if her periods are regular. In fact, asking about menstrual regularity would be among the first questions, if not the very first, that any fertility specialist would ask the patient.
The depiction of the train station Wollankstraße is completely wrong.
The train station Wollankstraße was in fact located in the Soviet sector of Berlin but as the main entrance was located in the west sector it was used as a station for West Berlin operated by East Berlin personnel. So trains did not run through like they did at other transit stations but rather stopped there allowing people to embark or disembark. Also, the train station in the movie has overhead lines, while the real Wollankstraße is an S-Bahn station which uses a third rail, meaning that neither the station nor the trains are correct.
The goof item below may give away important plot points.
When Rachel is at the mental hospital in the Ukraine and writing a note to reporter Yuri Tov, she is writing on the pad from right to left. If she was writing Hebrew this would be correct. But there is no reason that the reporter would know Hebrew, so she should be writing the note in Ukrainian, Russian, or English, which would be left to right.