The receptionist at the police station is played by Jack's real life daughter, Joan Benny.
When Jack is at the police station to report his Maxwell stolen, he confirms his address as 366 North Camden Drive in Beverly Hills, an address he mentions in several other episodes. This address is not a home; rather it is in Beverly Hills' business district, near the corner of Brighton Way and two blocks from Rodeo Drive.
The Sportsmen Quartet sing 'Top Hat.'
Per the title, the Maxwell was a gag on the Jack Benny radio show. The Maxwell was an antique car even in the 1930's. The sound effect of the car was made by Mel Blanc which was always on the verge of collapsing with a "phat-phat-bang!"