In the 60's segment, when Peter is flipping through the channels, all the events being mentioned on TV are from different years (Beatles on Ed Sullivan, JFK assassinated, moon landing).
In the 1950's segment, radio DJ Tom Tucker refers to Elvis Presley as a "songsmith". A songsmith is a person who both writes and performs music. Elvis Presley never wrote any songs- all of the songs he performed were written by professional songwriters.