Continuity mistake: When Monk is describing the laser pointer incident to Dr. Kroger, the doctor closes his black folder and puts it on the arm of his chair. In the very next shot, it's back in his lap, and he again closes it and places it on the chair arm. (00:25:00)
Plot hole: The murderer mails a garage door opener with the button taped down to his victim and kills her by remote. But A) With the switch continuously in the "on" position, the battery would die long before the package arrived, and B) Door openers use special frequency tones that are set much like a safe combination. The likelihood of one control opening 3 different doors in the same area, as it does here, is virtually nil. (00:33:30)
Plot hole: The whole plot hinges on Steve Wagner knocking the victim out for 2 days, remotely hanging her while he's in space, then removing the hanging machine when he lands. But keeping someone unconscious chemically for 2 DAYS is a hell of a feat. And unpleasant though it is, she'd be voiding her bowels over those 2 days, leaving a serious mess, plus all the chemicals necessary to keep her unconscious would be found in an autopsy.