New York subway trains operating in 1963 did not have door chimes.
In a shot of the Berlin airport a 707 with the Lufthansa painting pattern logo is shown. In 1963, as a result of a post war agreement between USA, France, UK and the Soviet Union, Lufthansa was not allowed to fly between West Berlin and the rest of Germany. Only Pan Am, Air France and BEA (later British Airways) could take off and land on Tegel airport.
Lufthansa did not fly to West Berlin at all during the Cold War, they were not allowed to. In the series, they showed a Lufthansa 707 jet at some composite airport which we assume was Tegel. Tempelhof could only accommodate smaller aircraft requiring shorter runways. Pan Am mostly used DC-7 and 727 jets during the 1960's and 1970's to Berlin-Tempelhof Airport from London, Hamburg, Frankfurt and other destinations. 707 jets used to land at Tegel Airport, mostly other airlines. East Berlin's Schonefeld Airport was the hub for the GDR Airline Interflug, and wide body aircraft did land there, but not Pan Am.
The Berlin scenes were obviously not shot in Berlin: There are no yellow street markings of the type shown in Germany (and there have not been any at the period depicted), and one manhole cover shown is also not the German type.
When the Berlin airport where JFK's Air Force One is landed in 1963 appears, the present main terminal of Berlin's Tegel airport is shown. The terminal went in service in 1974. Even then, an American president would always have landed in Berlin-Tempelhof, the airport in the U. S. sector, not in Berlin-Tegel, which lies in the former French sector.
Collette says she was 3 years old when the Germans occupied France. That occupation began in May 1940. The country was liberated in summer 1944, just over 4 years later. Her memories were far too extensive for someone that was so young at the time.