Other mistake: How come when they are on the Remora F-117x the pilot is the only one wearing an oxygen mask? The team only has headsets on but they're all in the same space - just before they dock, Kurt and Steven stand up and move forward straight into the cockpit area next to the pilot.
Suggested correction: The plane is pressurized - Cahill has to equalize the pressure before entering the sleeve to access the 747. That would not preclude the pilot from wearing an oxygen mask in case pressurization is lost.