After Laura wins the swimming race in the pool, she takes off her swim cap. The next shot shows Laura in the background and she takes off her swim cap once again.
Crew members watch the launch of Mercury 9 on television, which took place on May 15, 1963. But in a previous episode, the crew was in West Berlin for John F. Kennedy's "Ich bin ein Berliner" speech which took place on June 26, 1963.
The dialogue states that he is watching the first American manned space flight, and the footage, which does depict a Mercury capsule, shows it atop an Atlas rocket. The first flight was actually on a Redstone rocket.
In Hong Kong Airport, the background announcement was spoken in Mandarin. But back at that time, it should be announced in Cantonese or English.