The goof about the expired license is incorrect. Mannix's PI license is good through May 31, 1969. Since the episode aired October 12, 1968, the license has more than seven months remaining.
When Kelly is grabbing the steering wheel of the car trying to get Mannix to let her out, the dash comes into view and the speedometer shows 0 mph along with most of the gauges at the zero position suggesting the car is not moving at all or even running during the chase scene.
When the thieves break into Mannix's apartment they find his private investigator's ID which reveals that it had expired on May 31, 1969 - two years before the show first aired.