The candidacy of John B. Anderson, who ran an independent presidential campaign, and received 6.6% of the popular vote.
The rise of famous English progressive rock band Supertramp. The band's single "The Logical Song" is heard during Homer's flashbacks working in the minigolf.
Also, Homer spoils the ending of the film to the audience in the queue line by describing how Darth Vader ended up being Luke Skywalker's father. This is often considered one of the greatest plot twists in cinema.
Homer compares Marge's beauty to that of Princess Leia and her smartness to that of Master Yoda.
When Marge asks Homer if he thinks about their future, he makes a reference to Planet of the Apes.
Homer's car has a bumper sticker reading 'Disco sucks', possibly a reference to Disco Demolition Night the year prior.
Bart wants to name the possible incoming baby as "Kool Moe Dee Simpson", such as the American rapper Kool Moe Dee, while Lisa wants to call it Ariel, just like The Little Mermaid.
The "Bridal Chorus" is heard when Homer and Marge went to Shotgun Pete's to get married. It is also heard on the keyboard.
Marge compares Homer to American actor and director Ted Bessell.
Smithers, Lou Collier and another applicant belonged to the Alpha Tau fraternity, with one of them from the Alabama chapter of the fraternity.
While Homer is trying to get a job, the song "9 to 5" by Dolly Parton is playing.
Homer is wearing a T-shirt saying "I shot J.R.", a reference to the murder attempt against arch-villain J.R. Ewing from Dallas
Homer is wearing a T-shirt saying "I shot J.R.". This is a reference to the fictional mystery surrounding a murder attempt against arch-villain J.R. Ewing (Larry Hagman) from the 1978 TV series Dallas and that got its own advertising catchphrase, "Who shot J.R.?".
On the day of this episode's premiere, the Soviet Union officially dissolved.
The Justice of the Peace is the first character outside of Homer to call Marge by her full first name Marjorie during the flashback to Homer and Marge exchanging their wedding vows.
Marge's hair is not as tall in this episode as it normally is shown. Presumably, her hair is shorter so there is less to wear in her famous updo.
Jacqueline appears to be a smoker in this episode, she has not smoked in any other episode, and has presumably quit.
Mr. Burns is seen playing on a Ms. Pac Man arcade cabinet in his office.
This episode marked several additions to Homer's resume.
Springfield Miniature Golf Course: Groundskeeper (Quit due to insufficient salary)
Pitiless Pup Attack Dog School: Dog trainer (Quit after finding work too hazardous)
Ye Olde Springfield Village: Candlemaker (Fired for substandard performance)
Slash-Co Knives: Door-to-door salesman (Presumed fired for slashing an old lady's hand)
Millions-for-Nothing Pyramid Seminar: Ground-level participant (Organization dissolved after founder committed suicide by jumping out the window when hearing police sirens)
When Homer is writing his goodbye letter, he scrawls over Patty's name in the letterhead and writes his own name underneath. The next time the letter is seen, Patty's name is only crossed out and Homer's name is off to the right, positioned diagonally.
At the end of the episode, when Homer tells the kids what a blessing they are, Maggie's bow is missing in one shot.