Continuity mistake: When Monk, the Captain and Disher talk to Dr. Scott during his cardio test, the doctor's hospital gown is falling off his left shoulder in about half the shots, but is pulled up to his neck in the rest. This alternates several times throughout the scene, though he never touches or adjusts the gown. (00:19:30 - 00:21:30)
Revealing mistake: When Monk and the others are examining the crime scene, the "corpse" can be seen breathing (his abdomen is rising and falling) and blinking. There are various shots in this scene taken from behind the body looking into the room, and some of these are pulled back so that the body is visible while others are zoomed in so that it is not; this is not a mistake, but suggests that maybe the actor was told he would not be visible in these shots and so did not need to hold his breath.