The song playing while Miguel and Sam are having their first date at Golf 'n Stuff - "Young Hearts" - is the same one that played when Daniel and Ali made up at Golf 'n Stuff the night before the tournament in the original movie.
When arguing for the reinstatement of Cobra Kai, Johnny says that he has no idea who Terry Silver is. This makes sense, as Johnny was not present in the third film.
The reoccurring synthesizer and guitar music, that happens prominently at the end of the episode, is in the style of Eddie Van Halen, particularly on the 1984 album, which came out a year before... and is the title of the year of... when The Karate Kid was in theaters.