When Marge tells Homer she and Moe are going to Aruba. The alarm clock changes from digital to analog.
Itchy & Scratchy Land is shown to be within a few hours driving distance of Springfield. However, in Itchy & Scratchy Land, it is shown to be several thousand miles away.
When Homer says his "mind is completely at ease", the collar of his everyday white shirt is showing; however, he is in pajamas for the duration of the scene.
On the plane, when the camera pans to Marge and Moe, Akira and the Sea Captain are sitting behind them. But when the camera is on Marge and Moe, they are nowhere to be seen. Then when the camera is above them, someone and Carl are behind them. After Homer's speeding scene, when the camera is on Marge and Moe, nobody is behind them, but when Moe closes the Airplane window, Akira and the Sea Captain are shown again. Then, when Moe declares his love for Marge, nobody is seen behind them again. When Homer comes out of the Toilet hole, Akira is seen behind Marge and Moe. This continues for a while.
After Bart blew the sausage in Lisa's mouth, he suddenly has shrimp on his plate, even though they weren't there before. Additionally, as it is revealed two seasons later in Please Homer, Don't Hammer 'Em, he is allergic to shrimp. It is possible that he became allergic after this episode.
Marge and Moe couldn't have been on the plane before Homer even got there, as you should arrive at the airport a minimum of two hours before the scheduled departure time for international flights. Also, if it was that close to departure when they left for the airport, Check-in would already be closed.
It is impossible to board a plane via anything other than a door.
Homer gained access to the apron, however passengers are only allowed on the apron when boarding their flight, meaning that he would have been arrested.
Also, as Homer didn't have a boarding pass, he wouldn't have even been able to get to security.
It is impossible to open a plane door in-flight.
The steps that Chief Wiggum was driving would not have been able to keep up with the plane.
The title is a play on the 1981 movie Mommie Dearest.
Over the end credits, Homer and Marge sing Captain & Tennille's song "Love Will Keep Us Together"; this was actually a deleted scene from Co-Dependent's Day. Homer is dressed in the same on-stage costume as Daryl Dragon, aka The Captain.
In the scene where Homer chases Moe and Marge's plane on the tarmac is a spoof on the Jim Carrey movie Liar, Liar.
The scene where there's a new computer-animated movie from DreamWorks, Cards, parodies many other computer-animated movies, specifically Disney/Pixar's Cars, in the way that DreamWorks seems to always use similar themes for their CGI films. The trailer also references the 1992 film A Few Good Men when a card says "You can't handle the two," a play on the popular phrase from the film, "You can't handle the truth."
When Homer makes a puck of his lips to kiss Marge, she goes away and Homer instead uses the puck of his lips to play the trombone where he plays Greensleeves.
Due to the closure of his bar, Moe tells his patrons to get their beer from a gay bar across the street, "The League of Extra-Horny Gentlemen" (a play on The League of Extraordinary Gentlemen) from which "Can't Get You out of My Head" by Kylie Minogue is playing. This is a reference to Minogue's status as a gay icon.
Chief Wiggum's stair car is a reference to the Bluth Company Stair car from Arrested Development.