When Harm and the Lt. take off for the test flight, they are in F14 number 200 when placed on the catapult. Harm identifies the flight as "Boxcar 220", with 220 being the plane number. In the following pre-launch scene, they are in plane number 104. As they are launched, the plane is first number 103 without the pilot/RIO names the fuselage, then it is number 101 with names on the fuselage. When they approach to land, they are back in plane 103. In the next shot as the plane catches an arresting wire, they are in plane 201. As they taxi away, they are in plane 114. When they get out of the aircraft, it is number 242. All of the planes depicted do not have any black paint in front of the cockpit except for number 242. (There are several other discrepancies with ordinance and plane markings.)
The flight suit of Lt. Kersey, the accuser, bears an inconsistency. The bars on his shoulders say that he's a lieutenant, but the name patch says that he's a jaygee [lieutenant (junior grade)].
Using graphite or any hydrocarbon based lubricant on a liquid oxygen (LOX) system is extremely dangerous. This wouldn't just cause the system to freeze up and cause hypoxia, it could very easily cause an explosion. Anyone trained to work on LOX systems knows how bad this practice is.