Two Birds of a Feather - S3-E19
Factual error: Sam crashes the plane running out of gas, but just barely. His boss and the client are mad at him, but he actually worked some miracle, since from Van Nuys to Honolulu there's a distance of over 2,200 nautical miles, and even considering additional fuel tanks, that is over 3 times the range of the Cessna 172 plane he was flying, also considering it had headwind throughout the voyage (it's even a plot point).
Factual error: When Blackthorne is on Rodrigues' ship, Rodrigues offers him grog. But grog was only invented in 1740, by British Vice Admiral Edward Vernon, whose nickname was "Old Grog" because of his preference for coats made of grogram cloth.