In 1969, frosted flakes were called SUGAR Frosted flakes; the word, "sugar"was removed much later.
Apollo astronauts had their surnames on their suits. Stan's has his christian name.
However this is not a factual mistake but a clue that Mission Apollo 10 1/2 is a tale.
When Stan's sister Jana puts the Monkees self-titled debut album on the turntable, it is shown to have been released on the Sundazed label, which was a reissue edition marketed in 1996. The original 1967 album was released in the U.S. on the Colgems label.
When Stan's sister Jana is shuffling through records getting ready to put on one by The Monkees she is seen holding a record by The Souther-Hillman-Furay Band, a record that wasn't released until 1974.