Factual error: When Riggs and Murtaugh go to investigate the scene where the body of Ramon Alvarez is discovered Scorsese states that Alvarez's dog tags say "SEAL" on them. His dog tags would not say that he is a SEAL on them. The information listed on dog tags is as follows: Name, Social Security Number, Blood Type, Service Branch, and Religious Preference. There is no way to tell what a given service member's MOS (job) from his or her dog tags.
Trivia: In this episode, Dan Cooper hijacks and robs the passengers, then jumps out of the plane mid-flight with over $1 million of goods. In 1971, a man identifying himself as "Dan Cooper" (later misidentified by the media as "D.B. Cooper", which ended up being the more popularised epithet) hijacked a plane and jumped out of the plane in mid-flight with over $1 million.