The statute of limitations for a hit-and-run is 6 years in California. This means that someone couldn't be charged for a hit-and-run they committed over 6 years ago. In the case of this episode, someone is charged for a hit-and-run they committed 10 years prior.
The training officer, Nyla Harper, checks out an AR-15 rifle. Later in the episode, she fires the weapon in full-auto mode. AR-15s are semi-automatic, so she's actually using an M16. It could be that the writers don't know the difference, or it could be deliberate confusion implying that AR-15s are full-auto. The tech consultant should have corrected this.
The blue Mustang that passes in front of Nolan and Harper's police car, comes from the left. Making the U-turn, it also leaves to their left. Yet Harper makes a right turn as the police car leaves the alley in order to pursue it.