The character played by Frances Lee McCain (Leslie Callahan) is referenced in dialogue as "almost twice as old as" and "almost 15 years older than" the character played by Bill Thornbury (Paul Lowe Douglas), who is said to be 21 in dialogue. However, McCain (born 1944) was only 8 years older than Thornbury (born 1952). McCain was playing older than her age, while Thornbury was playing younger than his age.
One of the streets of the fictional university is called Linus Pauling Avenue. Linus Pauling was a famous scientist who twice won the Nobel Prize. He was also a long-time lecturer at UCLA.
"Magister", which Rockford, posing as a fraternity official, mispronounces by stressing the penultimate rather than the ante-penultimate syllable, making it sound like "mageesta", is a Latin term for a university scholar and literally means "master".
This is the second episode in a row, after 4:19 (The Competitive Edge), where the phrase head on a post' was used, although the stories/cases were unrelated, the writers and directors are different, the wording slightly different (head on a post/stick), and the meanings of the phrase were different. In The Competitive Edge, "head on a post' refers to a drug cocktail, and in The Prisoner of Rosemont Hall, "head on a stick..." refers to actual potential beheading.
When Jim and Leslie are driving in his Firebird, the entire scene is shot head-on; the rearview mirror has been removed, which is common in TV and film shoots, but it's usually done for shots from rear to front.