Factual error: The model UN uses the new South African flag, but this flag only came into use in 1994.
Phoebe vs Max: The Sequel - S3-E1
Factual error: All the orange juice that sends Max flying through the air couldn't possibly be strong enough to do so. We already know that Max is pretty strong (The Girl with the Dragon Snafu).
Factual error: When Jake is given a burner phone by Doug Judy, he receives a text message from the 'Pontiac Bandit'. The phone is an old cellphone from the late 90s, but the text message makes an iPhone sound/tone from the late 2000s. He receives another text message again later with the same tone. (00:09:55 - 00:12:50)
Factual error: The conversation between Taylor and Michelle tells us that school is over for the day and that Taylor talked to her crush at lunch. When the boy shows up at the bakery later, he and Taylor plan to meet at 3 that afternoon; if its before 3, they should still be in school.
The Banquet - S5-E3
Factual error: During The Banquet, everyone is seated at the dinner table. But Romans famously ate reclining. They should have lain down to eat.
Factual error: While the brothers were fighting with each other, they were interrupted by the flag being raised and stopped fighting to salute the flag. The wrong song was playing when the flag was being hoisted. On real Army bases, Reveille is supposed to play during the raising of the flag, but the show had the end of "To the Colors" (what is played when the flag is being lowered in the evening) playing instead. (00:14:00)