The song playing right before Bart gets mud all over Nelson is "Metal on Metal" by Canadian heavy metal band Anvil.
Trivia
This episode's title is similar to another Simpson episode: Homer Simpson, This Is Your Wife.
Running Gag:Homer pretending to be a magician, as he tells Marge that if she looks in her purse she will find the seven of clubs and then planting the seven of clubs in Marge's purse (Homer fails though, as Marge noticed him planting the card) and possibly Lisa's lunchbox.
Homer tells Lisa that he ate a slice of wedding cake Marge was keeping in the freezer (much to Marge's rage). There was also a slice of wedding cake in the freezer that Marge showed Homer in Natural Born Kissers.
When Lisa says that if she attends Cloisters Academy, she will make her old self look like Bart, leading Homer to respond "That'll be one weird kid." This is a reference to Lisa being a female version of Bart in the Tracey Ullman shorts and in the earliest episodes.
The last time Lisa was horrified at her future of being a homemaker was in Separate Vocations.
Goofs
Marge is surprised to hear that Nelson is a bully but she referred to him as Bart's bully in Sleeping with the Enemy, referred to Nelson as a thug in Bart the Mother, and Bart told Marge about getting bullied by Nelson in Bart the General.
When Nelson confronts Bart, the two walk past a wall of closed lockers, but when Nelson changes direction, he walks into an open locker that should have remained closed.