Vice President Dick Cheney is shown as a greeter in Walmart telling people who walk in to "Go fuck yourself." This is a reference to an incident in 2004 where Dick Cheney was arguing with Senator Pat Leahy on the Senate floor and told him to "go fuck himself."
"The Tan Aquatic with Steve Zissou" episode reveals that Peter is 43 years old
The painting Stewie is transfixed by is Georges Seurat's - A Sunday Afternoon on the Island of La Grande Jatte, dated 1884-86. The painting measures approx' 10ft wide x 6ft in height and is on permanent display at the Art Institute of Chicago. The scene is a parody of the famous scene from 'Ferris Bueller's Day Off,' with Stewie filling in for Cameron Frye (Alan Ruck).
When Stewie gets into the tanning bed he is singing "Kokomo" by the Beach Boys
Since Kyle is 13 Peter technically would have been arrested for assaulting a minor.