The Hong Kong International Airport at Chek Lap Kok in the movie did not become operational until 1998, 29 years after Apollo 11 being launched. The airport during the Vietnam war period was Kai Tak airport, it was closed and replaced by the new Hong Kong International Airport at Chek Lap Kok.
In the club scene, you can hear "Magic Carpet Ride" by Steppenwolf. This movie takes place in July 1967, but Steppenwolf didn't record that song until September 1968.