Police Security Lapse Part 2: When Marty Foreman goes into the station house to "rescue" his brother Hoyt, Marty pulls out a revolver and aims it right in the middle of the squad room and nobody notices him.
Police Security Lapse Part 3: Police headquarters is being evacuated when Parks and Marty Foreman bring Broadhurst into the building in a last-ditch effort to look for Marty's brother. Somehow they find an unguarded door and can move throughout the building (which is still being evacuated) and nobody notices.
McCloud's scheme to arrest all of the drug dealers to find the one who was selling to the woman would have produced numerous lawsuits. The police can't just arrest people because they're looking for someone.
When Chief Clifford takes a leave of absence, he gets into a long discussion as to who should take command -- Joe Broadhurst or Phyllis Norton. Presumably Broadhurst is the senior sergeant, so he gets the nod. But it seems odd that Phyllis Norton is second in line -- Grover (if he is a sergeant; this has never been specified) or Gladys (who IS a sergeant) should rank her.
When Marty Foreman makes his first effort to sprint his brother Hoyt from police custody, he consults a wall directory which gives the number of Chief Clifford's office and, below that, the number of Broadhurst's office. Broadhurst never had an office; he always worked at a squad room desk.