During the phone conversation between Randy and the governor of California, you can see sunset all over South Park. However in the governor's office, the clock at the right of the screen shows a time of 2:30pm. Since South Park is 1 hour ahead of California, the former should have a time of 3:30pm.
It should be noted that sunsets in Colorado during the month of October usually occur around 6pm.
Stephen Stotch said that the feelings of families of the 9/11 victims will still matter for another 10 months, which would calculate to August 2011, nearly 10 years after the attacks.
However in Jared has Aides, it takes 22.3 years for a serious tragedy to become funny and acceptable to laugh about.
This means that by the time the feelings for 9/11 no longer matters, it still can not be laughed about for another 12.3 years.
Randy called the Japanese Emperor as "Akishino". However, the actual name should be "Akihito".
Cartman: (to Stan) If you want to get rid of your neighbors, you should crap on their doorsteps every night.
Kyle: So you're the reason I keep finding crap on my doorstep every morning?!
Cartman: Ooh, busted...
We learn that Kyle's mother is born and bred in Jersey, which means Kyle himself is of Jersey descent.
Teen Wolf: Kyle makes himself up to look like someone from Jersey while his mother knocks on the bathroom door, insisting that he let her in. When he finally does, she is also dressed up like someone from Jersey. This is a reference to a similar scene in the film Teen Wolf, where Michael J. Fox's character transforms into a werewolf in the bathroom and, after opening the door to reveal his father covered in hair, realizes that his father is also a werewolf.