The Case of the Sun Bather's Diary - S1-E17
Character mistake: The reporter over the radio says Arlene Dowling is accused of murdering Frank Ballard, but the name of the murdered guy is George Ballard. Frank is her imprisoned father, Frank Dowling. (00:43:50)
The Case of the Sleepwalker's Niece - S1-E2
Revealing mistake: The carpets in the sleepwalker's house looked like they're unfolded tarps. There are noticeable folds in the carpet that looked as if a folded cloth had been unfolded but the creases were still there.
The Case of the Hesitant Hostess - S1-E29
Factual error: Supposedly, heroin is being smuggled into the country in secret compartments in women's purses, but the quantity of heroin that could be concealed in such a way would be so small as to be very unprofitable for the smugglers.
