The car driven by Wilma Goffney (Helen Wallace) is a Detroit Electric which was an electric car produced by the Anderson Electric Car Company. They made about 13,000 cars between 1907 and 1939. The same car can be seen in The Case of the Borrowed Baby (1962).
At 2:24 Sitting at the table at the lower left is series composer Henry Mancini.
In the climax scene, in which Maggie is holding Bowers and Gunn at gunpoint and Gunn discovers the rigged TV set at the last minute, he warns that the (presumably wet) rug had been wired to the 16,000 volt supply of the TV chassis, which is typically fed by the flyback. In reality, the high-voltage from the flyback in most TVs of that era was not capable of driving enough current to do much more than annoy the victim. It was the "B+" supply, typically 250 to 500 volts, which posed the most serious risk of a fatal shock. This mischaracterization, which some would call a goof, while others would chalk it down as theatrical license, was recycled in a 1970s episode of Quincy, and probably numerous shows in between.