In this episode Bart attempts to retrieve Santa's Little Helper who is used as a guide dog without being caught. The blackboard gag for Whacking Day implies that Bart was caught stealing a guide dog (or borrowed it and wasn't going to bring it back).
The song played at the party during the end credits is "Jamming" by Bob Marley.
The premise of a human character using the family pet's name to get a credit card was used on a season three episode of the FOX sitcom Married...With Children (with the only plot difference being that Al and Peg eventually did get caught for credit card fraud, but only had their stuff impounded and Al working in a hotel to pay off the room service charges after the bank discovered that they sent a credit card approval letter to a family pet).
According to the DVD commentary, the Repo Depot is loosely based on the building from the movie Repo Man.
Homer receives a magazine in the mail, entitled Car Toons and featuring a cover illustration of a hot rod driven by a monster, in the style of Ed Roth.