The title of the episode is a parody of the TV series My Mother the Car. Two episodes of the show were written by James L. Brooks (though he regretted working on the show, as My Mother the Car is considered one of the worst sitcoms in American TV history).
The show "Oops Patrol" where Marge wins a shirt is based on The Tonight Show with Jay Leno segment “Headlines”, where people send in newspaper headlines that are weird, risque, or have hilarious typos and misinformation.
The scene, where Homer puts newspaper on the walls, is a parody on the scene from the movie Beautiful Mind.
In this episode, the voice of John Lennon can be heard singing "Mother". The Simpsons is now the only show in the history of animation where all four members of Beatles appeared (though John Lennon was killed in 1980).
In this episode, Mona fakes her death. Homer faking his death is what lead to her first appearance in modern day Springfield. This is also the second episode where a character fakes their death with a vehicle crash. The first was Bart the Fink.
Despite the title, Mona doesn't carjack in this episode. However, Homer hijacks a prison bus.
Two prisoners in the jail both have the number 5231's in their name blank.
The first half of the "Giant Taco Built in Mexico" news is a normal text. The second half only has the first letters of each line so Mona's message could be shown. The rest of the letters are random and make no sense.