Corrigan and Stacey are waiting at 1 AM for Hooker, yet the natural light behind the restaurant is that of either sunrise or sunset.
The fake cop shoots the guard. The noise is that of a silenced weapon, yet the revolver he fires has no silencer.
Several times prior to this, either Hooker or Romano had used a portable radio while on patrol, yet here they have no radio. Next, once Corrigan realized Hooker was not at their meal break, he would call him again on the radio to get his ETA. When there was no answer, a search would be conducted for the missing officers. Additionally, being off the air for so long would cause the dispatcher to make a welfare check on the officers as was later shown. Once Hooker did not answer the radio as was shown, a sector wide search would be made for the missing officers- something no watch commander would deny. All of the above was standard police procedure even in the 1980's.
The vandal steals the police car by grounding one wire. He does not disable the steering column lock, so even if he started the engine, he could not steer the car as was shown.
Hooker as not only a supervisor but also as a training officer makes rookie mistakes by not calling in the initial incident and leaving the police car unlocked.