It is revealed that ALF's Melmacian name is Gordon Shumway. Also that he turned 228 the day his planet exploded. According to the DVD box that makes his birthday Gary 71st.
In the restaurant at Melmac you can read that the Daily 'Stray' Special is "El Gato" Stew. El gato is Spanish for "the cat."
ALF's normal temperature is 425º. The scale is not disclosed.
When Willie asks ALF "Tell me about Rhoda" and ALF says "I thought she was funny when she was on Mary's show, when she got her own series, they married her off too soon". ALF was talking about The Mary Tyler Moore Show from which Rhoda was a spinoff.
When ALF says, "And good night Mrs. Ochmoneck, wherever you are," he alludes to Jimmy Durante, who always signed off his shows with a "Good night, Mrs. Calabash, wherever you are."
Help Me, Rhonda: Title
The title of this episode is derived from the Beach Boys song of the same name