Deliberate mistake: In the shot where the F-14 and F5 canopies are only 3-feet apart, you can see that the writing on the side of MAVs F-14 is backwards. Also, if the F-14 was inverted, with the sun more-or-less above, its cockpit would be in shadow, not with sunlight on the nose, as seen. (00:08:55)
Deliberate mistake: In the locker room scene after the final dogfight, Wolfman's helmet is seen hanging in Hollywood's locker. Hollywood's helmet is blue. (01:42:15)
Deliberate mistake: During the final dogfight, Maverick tells Merlin he's going to "hit the brakes" then when Maverick gets a good lock on the enemy he fires. The shot of his last missile firing is a flipped shot, note "VF-213" is backwards. (01:38:50)
Answer: The original F-14A used the TF30 engine which was prone to compressor stall. This problem was fixed in later aircraft. https://theaviationist.com/2014/12/12/f-14b-engine-goose/.