Nelson's use of the term "Germania" is obviously meant to make him look stupid, but Germania was actually the term used by the Romans for an area similar to modern Germany. If Üter is from Bavaria, though, he would not likely be from the area which was Germania.
Apu claims to have developed the first tic-tac-toe program, which only the top human players could beat. The game has actually been strongly solved, and if both players play perfectly, it should always end in a draw.
Homer earns 40$ daily in the episode "Lisa's Rival", but in this episode, he earns 95,96$ daily.
Homer's payslip reads:
Gross Pay (40 hours) = 479.80 ($11.995/hour)
Federal Withholding = 56.25
FICA = 36.34
State Withholding = 10.45
Municipal Tax = 9.37
Bear Patrol Tax = 5.00
Net Pay = 362.19
The entire sequence at the mayors office is littered with references to the cartoon Yogi Bear. From the way Moe pronounces picnic basket to his description of the bears as "smarter than the average bear" (as well as the implication that the "culprit" for stealing Moe's Picnic Basket was actually Mayor Quimby.
In the scene where the towns people crowd around the mayor outside his office on the left side of the screen there is a man with a cowboy hat and a green and red striped shirt that appears to look like Freddy Kruger From Nightmare on Elm Street.
At the time the episode was produced, California was having problems with bears roaming neighborhoods in search of food, as shown in Springfield at the beginning of the episode.
California at the time was also politicizing the large numbers of undocumented immigrants in the state. In 1994, voters had passed Proposition 187 (later declared unconstitutional) which would have denied services such as schooling and emergency Medi-Cal to undocumented immigrants, similar to Springfield voters' passing Proposition 24. Moe keeps calling them "immigants", and claims, "I knew it was dem! Even when it was da bears, I knew it was dem." This is a parody of the xenophobia and ignorant bigotry that was plentiful. California's continuing issues with undocumented immigrants were one of the reasons for making the episode, according to Bill Oakley on the DVD commentary.
Voters use propositions to vote for government services, but against taxes that would pay for them, exactly what Mayor Quimby's advisor said about the "morons" of Springfield.
When the family is at the dinner table and Lisa is telling Homer she doesn't agree with the proposed new immigration law, the food on their plates changes from purple pie to mashed potatoes and meat and then back to purple pie.
When Mayor Quimby promises action against the bears to the townspeople, he wears his normal clothing but the next shot, when they are leaving, he suddenly wears a napkin around his neck.
When Apu falls asleep the day before the test, his head rests on the open notebook. The next shot when he wakes up it's closed, even though it appears his head never moved. In the overhead shot immediately after, the notebook is gone and a pen, paper and book are in place.
Groundskeeper Willie gets deported, even though it is stated in other episodes that he came to the U.S. legally.
Homer tells Apu that he's not a registered voter, yet he is shown voting for Bob in season 6's "Sideshow Bob Roberts."
Springfield had a referendum on whether to deport illegal immigrants, however illegal immigrants get deported anyway.
Lisa said that Apu, despite being an illegal immigrant, could become a citizen due to how long he had been living in the US, however illegal immigrants cannot become citizens under any circumstances.
In the last scene before the end credits, Apu complains about receiving a jury invitation, presumably for the first time as a legal, duty-eligible citizen, even though he had already served as a jury member in The Boy Who Knew Too Much.