The first episode of Ellery Queen was called Too Many Suspects. Ellery Queen, an author who helps solve mysteries, started Jim Hutton who is actor Timothy Hutton's [Archie Goodwin] father. The titles of both of these shows involve a crime with too many suspects.
One of the paintings in "the room" is of a showgirl on a swing, which may be a reference to Evelyn Nesbitt, "The Girl in the Red Velvet Swing", who was involved in a love triangle and homicide.