During the fight between Officer Juarez and the thief she was chasing, the thief clearly misses his punch but Officer Juarez clearly falls to the ground reacting to the punch.
The hospital emergency doctor uses a defibrillator on a patient whose heart has stopped and who is declared to have flatlined. Defibrillators are only used to correct irregular heart rhythms, not restart one. This rookie (appropriate here perhaps) mistake is common in movies and TV dramas.
When Nolan gets out to approach the jewelry store robber they cut to his body cam, however what is shown is the point-of-view of someone getting out from the backseat of the shop.
Sgt. Grey and his wife Luna is supposed to be in NYC looking for their daughter Dom.
However at minute 26:34 it show's "Anwar's Kitchen" logo behind them which is located in Los Angeles.
When the prisoners fight the cops in holding, Juarez struggles to press the alarm. There were other officers present for example the officer who presses the buzzer to open the cell. He should have raised the alarm immediately.
Earlier in the show, Sgt Gray said that his daughter got into Columbia, in this episode he says that she is a student at NYU. Both schools are in New York City.
When Nolan and his partner catch and arrest the thief, neither one of them go back for the bag he dropped while running away.