When Luca is talking to Hicks in his office his collar is up, then just after Luca hugs him the collar is down, in the next shot it is up again.
Black Betty Rescue 1 is seen with the license plate 9999960. That plate is also seen on The Rookie S5E21 when Nolan and Juarez leave the station at the end, on the SUV seen parked behind them.