Caricature artist Troy Aikman's line, "You like dune buggies? Everybody likes dune buggies!" is a reference to a similar line from a different artist drawing almost identical pictures in Season 4's "Lisa the Beauty Queen", "You like roller skating? Everybody likes roller skating!"
The Super Bowl commercial featuring three sexy women servicing a man's car had the line "The Catholic Church: We've Made a Few Changes" edited to "The Church: We've Made a Few Changes" in all reruns (and some overseas airings) due to complaints from The Catholic League, though the syndicated version has the original line (spoken and in closed captions). The uncut line is shown on the season 10 DVD set, but the subtitles/closed captions have the edited line instead.
The use of Vincent Price in the phone message is a reference to a fake radio commercial for Coca-Cola that used sound bites of Vincent Price from his films.
In the Post Office, Krusty looks at a legends of Comedy poster an asks, "What has Fatty Arbuckle done that I haven't done?".
The appearance of a character named Rudy who wants to get on the bus with the others with the line "What I lack in size I make up for in obnoxiousness." is apparently a reference to, and commentary on the main character of, the film Rudy (1993) with Sean Astin.
When Bart's class is on the field trip at the post office, at one point, Chuck is among the students seen there, but he isn't usually seen as part of Bart's class. It was a full-school field trip. This is evident, as Lisa was shown there.
Why didn't the guys kick Wally Kogan while being housed in the jail? He was the one responsible for getting the tickets, not Homer.