I heard the character Martin Donner Kingston say he flew "C-5 props" in the Air Force. The C-5 Galaxy is the largest 4 engine jet in the US military and is even larger than a 747 like the one in this episode.
It would not have been possible for Martin Kingston to land an F-14 from the back seat. The F-14 does not have flight controls in the back seat. Also, it was stated that he was in the Air Force. The F-14 was a Navy fighter. The Air Force flew the F-15.
This plane is supposed to be a 747, which has a large three person cockpit with room for one more. But in the cockpit scenes there is barely room for two.
This was supposed to be a flight with about 200 passengers. But we never see more than about a dozen people.