The title "Hooligan's Island" is a nod to La isla de Gilligan (1964). The classic American sitcom depicted Gilligan, the first mate of the S.S Minnow who along with the ship's captain and some of the passengers are marooned on a tropical island. In the live show, Richie and Eddie are both marooned on a tropical island.
When Eddie reads the note on the poison dart the Welsh Cannibals shot Richie with, Eddie says "Iranu Uvavu" which Richie asks Eddie if he has again stolen someone else's material which Eddie answers that he was hoping the incantation on the note would transform Richie into Ulrika Johnson. "Iranu" and "Uvavu" were regular catchphrases that was said by Vic Reeves on the BBC comedy panel show Shooting Stars (1993) which Ulrika Johnson was a regular team captain on that show.
When Eddie pretends to make out with a gladiator he tells Richie that he's making out with Spartacus and that she looks like Kirk Douglas. A nod to Espartaco (1960) which Kirk Douglas played the historic Thracian gladiator turned revolutionary Spartacus.