In this episode, Jake mentioned Torrance from Bring It On (2000). In Captain Kim (2020), Captain Kim is played by Nicole Bilderback who played Whitney in "Bring It On".
The police dog is called "Frisbee". That is also the name of Seth Meyers's Italian Greyhound. Meyers was head writer at SNL while Samberg was on that show. He and Andy Samberg later had a whole bit on "Late Night with Seth Meyers" how Samberg, despite liking dogs in general, supposedly hates Meyers's dog Frisbee with a fiery vengeance.
During the games, Hitchcock says, "the juice is loose," which was a slogan that was said about OJ Simpson when he played football. It was also the name of an episode of Family Guy which is about the main characters meeting and befriending OJ Simpson.
While it is the second episode to include the Jimmy Jab Games, Jake states that it's the 7th Jimmy Jab Games in the previous episode that included them, so this episode should technically be titled "The Jimmy Jab Games VIII".