Woody makes a reference to Cyrus's "home state of North Dakota", an allusion to Peter Stormare's role in Fargo (1996).
When Chief Trout says "this isn't Dancing with the Stars (2005)," it is a reference to the actor's brief appearance on the show several years prior.
When Cyrus (Peter Stormare) is taken into custody, he says "I'm from a neutral country." Referring to the actor's birth country of Sweden which has long been a neutral country.
Cyrus (Stormare) tells Woody that the name of the John Doe is "Graer Wilson." Graer was the name of Peter Stormare's character in Fargo (1996).
It has been noted that the writers of Psych seemingly have an affinity for 80's classics, and in conjunction with this theme, the show has featured four of the five students from the cult classic The Breakfast Club (1985). The only Breakfast Club alum to not appear on Psych is Emilio Estevez, but Shawn uses his name as a cover when investigating during the episode.