After Cherry Pie returns with food, she says that stores throw stuff out even if it is one day passed the date. Food did not have expiration dates until 1970, the series is set in 1967.
At around 14:28 when Hodiak walks into the diner, the music is played on a modified Fender Rhodes electric piano called a Dyno Rhodes, known for its characteristic bell-like sound. Although the Fender Rhodes was around in 1967 where the show takes place, the modified Dyno Rhodes wasn't before 1974.
At approx. 36m 48s Sam walks into his sons room - there is a device inset into the wall which some believe to be an LCD TV. This is not a television on the wall, but rather an old air conditioning unit which was common at the time.
Shafes daughter uses a modern MAM pacifier, which would not have been available in the 60's.