In California you are required by the vehicle code to do certain things when involved in an accident. For a Non-injury collision, these are embodied in Vehicle Code Section 20002 which reads in relevant part:
20002. (a) The driver of any vehicle involved in an accident
resulting only in damage to any property, including vehicles, shall
immediately stop the vehicle at the nearest location that will not
impede traffic or otherwise jeopardize the safety of other motorists.
Moving the vehicle in accordance with this subdivision does not
affect the question of fault. The driver shall also immediately do
either of the following:
(1) Locate and notify the owner or person in charge of that
property of the name and address of the driver and owner of the
vehicle involved and, upon locating the driver of any other vehicle
involved or the owner or person in charge of any damaged property,
upon being requested, present his or her driver's license, and
vehicle registration, to the other driver, property owner, or person
in charge of that property. The information presented shall include
the current residence address of the driver and of the registered
owner. If the registered owner of an involved vehicle is present at
the scene, he or she shall also, upon request, present his or her
driver's license information, if available, or other valid
identification to the other involved parties.
(2) Leave in a conspicuous place on the vehicle or other property
damaged a written notice giving the name and address of the driver
and of the owner of the vehicle involved and a statement of the
circumstances thereof and shall without unnecessary delay notify the
police department of the city wherein the collision occurred or, if
the collision occurred in unincorporated territory, the local
headquarters of the Department of the California Highway Patrol.
From your description its sounds as if you have substantially complied with the law. Unless there are some other facts that you have omitted you are likely not going to be charged with hit and run.
You should however consult with an attorney who can make contact with the reporting agency. Remember any statement you make to the police over the telephone or otherwise can be used against you.
The other answer is exactly correct. You appear to have done what is required under the law. Maybe the police does not know you left your contact information so make sure that they know that.
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