Sterling Mossman plays himself in this episode. In real life Mossman was a police detective by day and a nightclub entertainer by night, performing with his band at a popular Waikiki hot spot called the Queen's Surf. The band took its name - The Barefoot Bar Gang - from the name of the bar at the Queen's Surf Retaurant, where they performed for twenty years. And yes, he was the brother of series regular Doug Mossman, who played Moke (sadly, they have no scenes together).
Laurie Mitchell is fondly remembered by fans of 1950s sci-fi films for playing the title character in the movie Queen of Outer Space (1958).