subsequent

If the warrant orders a search of the vehicle, yes. If the bench warrant calls for the arrest of an individual who just happens to be found operating a vehicle when arrested, the area in the immediate vicinity of the driver may be searched. If the vehicle, subsequent to the arrest, is impounded for "safekeeping" then the entire vehicle may be searched " for inventory purposes."

after, then, subsequent

If the insurance does not cover the expense it is likely the person to whom the vehicle is registered will be responsible for towing and any other subsequent charges such as storage fees.

If you mean, as opposed to simply a Motor Vehicle Code violation?

It can be if it resulted in someone's death or serious bodily injury, or if it was your second or subsequent offense.