When the A.S.S. legions show up at the Simpsons, Bart asks Lisa "Who knew a bunch of guys in brown shirts could cause so much trouble?" This is a reference to the Brown Shirts of the Sturmabteilung (SA) who were the most violent members of the German National Socialist (Nazi) Party before they took over Germany in 1933.
When Abe gets the kitchen appliances confused, he mistakes the microwave for a TV, and puts in a VHS of Sands of Iwo Jima. Interestingly, Abe sets it to run for two hours, but the movie is only 100 minutes long. Although this may just have been easier and more convenient for him rather than fiddle with it more than need-be.
When Homer and Patty prepare their mental images so they can kiss each other without barfing, Homer imagines Patty as Marge, Marge as a cowgirl, Marge as a cheerleader, Marge as a devil, and Marge as a hot dog chef. Patty imagines Homer as Edna Krabappel.
In spite of his financial state, it is quite surprising that Homer agreed to have Abe move in with the family given the fact he was the one who sent Abe to the Retirement Home in the first place and has also tried to avoid contact with him on several occasions since.
This is the second episode where a Simpson falls down the steps to the basement because they couldn't see where they were going. The first was Bart the Mother.
This is one of the few episode after season 10 (Phil Hartman's death) that makes reference to Characters Troy McClure and Lionel Hutz.