Other mistake: In the opening scene on the airplane, one of the men tells Lt. Cable, "The captain wants to know if you'd like to sit up in the cockpit with him?" Buzz Adams, the "captain" referenced in this line, is only a lieutenant. Admittedly, "captain" is a standard aviation term for the pilot of an aircraft, but it would be unlikely to be used in this situation, since the term has a specific military meaning.
Visible crew/equipment: When Isabel Jeans is telephoned by Madame Alvarez and told that Gigi has refused Gaston's advances, she gets out of bed and walks across the bedroom. As she passes a cheval (full length) mirror a pair of retreating jean-clad legs and a hand feeding out cable can be seen in the reflection.