Bait-and-Switch: While Lisa and Marge both talk about why revenge is bad, Bart's story tries to convince his dad that revenge is good. What he didn't realize is that Homer and the Texan had talked things out off-screen.
As well, the Simpson family was en route to the airport to take a flight to Hawaii (which means the first two minutes look like yet another "travel episode"), but the Rich Texan cut Homer off and Homer got upset by it. By the time he catches up to the Texan (and decides to make up), it's night already and the flight has long since departed.
The Chosen One: Milhouse is chosen to use the Getbackinator because he's the only nerd with hand-eye coordination.
Clark Kenting: When revealing himself, the Count must remove his fake dot from his face.
Homer is a fan of The Count of Monte Cristo but doesn't pay attention when Marge retells the story to show why revenge is a bad thing.
Marge and Lisa try to talk Homer out of taking revenge with their stories, but he doesn't listen. Bart encourages revenge with his story, but Homer makes up with the Rich Texan by the time Bart's finished.
Legacy Character: Averted. In the third story, Bart is trained by the Crimson Cockatoo and offered a chance to replace him but decides to become Bartman instead.
Not So Different: Homer ultimately decides against taking revenge on the Rich Texan... because, as he learns, they both come from Connecticut.
Timed Mission: In essence, this is what the wraparound story is: Homer is chasing after the Rich Texan, intending to beat him up with a baseball bat because he cut Homer off on the highway. Marge, Lisa, and Bart (respectively) try to talk Homer out of it with stories before Homer manages to catch up and follow through with his plan.
We Can Rule Together: Milhouse tries to make Lisa his "queen" under the threat that he could use the glove on her.