Dean introduces himself and Sam as Agents Bonham and Copeland. Both are the last names of drummers. John Bonham was the drummer for Led Zeppelin. Stewart Copeland was the drummer for The Police.
The Green Dragon Inn is a tavern from J.R.R. Tolkien's The Lord of the Rings.
Sam's question "So how long am I gonna be on Double-Secret Probation?" references National Lampoon's Animal House (1978).
While investigating the car, Sam wonders if it's like 'Christine'. Christine is a Stephen King novel/movie about an evil car come to life.
The character who finds James Dean's car, Little Bastard, is called Cal. James Dean played Cal in East of Eden (1955).