When the Gremlin is parked in the warehouse it has standard issue AMC hubcaps. During the beginning of the chase scene the hubcaps change to aftermarket hubcaps and remain that way for the rest of the chase.
Corrigan tells Stacy he has seen 13 years of police work. This time is inconsistent with the length of time he had served in San Francisco and then the LCPD that had been revealed in prior shows.
In a scenario where there were known to be armed criminals, 4 patrol officers and 2 Secret Service agents would not make the entry. A SWAT team would be used for this purpose.
The initial pursuit where Hooker always loses the suspect involves an AMC Gremlin. This was a grossly under powered economy car, while Hooker was in a Dodge St. Regis, which had a large V8 engine. Hooker would have no trouble keeping up with a Gremlin, but of course since it was the first pursuit the bad guy got away.
Corrigan tells his girlfriend two down in two days, referring to his killing two people in two days. He had been informed by Hooker the prior day the shooting team had cleared him. Officer involved shooting incidents, especially where a cooperating witness was killed, would take far longer than one day. Officers are normally placed on leave after such a shooting.
When Corrigan and Marty are being routed around the hotel, both the suspect and Corrigan are using a red courtesy phone. Hotel courtesy phones cannot be used to talk to each other. They also cannot be direct dialed as was shown. They were used to route calls to guests after the guest was alerted via the PA system to pick up the phone.
Hooker when talking on the radio after the required loss of the suspect during the first pursuit talks to Stacy on Tac 2 without changing the radio channel. He also starts talking before pushing the microphone button.
The suspect on the sidewalk tosses some evidence and none of the three officers pick it up, instead they all chase him. A similar error is made after the suspect hits Corrigan. Hooker, Stacy, and the Secret Service agent all stop for Corrigan instead of chasing the suspect.