In the series pilot episode, Jack refers to "Ara Parseghian and Notre Dame." The pilot is set in November of 1963 while Parseghian was hired by Notre Dame in December of that year.
In the pilot episode, which takes place in the fall of '63 (because subsequent episodes deal with the assassination of President Kennedy), the Beach Boys sing "Don't Worry Baby" on Bandstand. The song wasn't recorded until February 1964.