Continuity mistake: The exterior of Monk's apartment building looks completely different in various episodes.
Continuity mistake: The location of Trudy's grave changes throughout the series. In "Mr. Monk and the Candidate," it's in a spot in the graveyard by a paved intersection. In "Mr. Monk and the Red-Headed Stranger," it's in the midst of a copse of trees. In "Mr. Monk and the Three Pies," it's just off the cemetery's main drive.
Character mistake: It seems throughout the whole series at crime scenes Monk, Randy, and Stottlemeyer handle evidence bare handed. Surely, they should be wearing gloves so as not to contaminate the evidence.
Answer: Notice also that in the opening credits scene when he is touching parking meters her also wipes his hand on his clothes each time he does it.