No, all you need to have is legal status in the u.s. And a ssn.
not having a license plate on vehicle
Yes.
Expired drivers license
The requirements for getting a Vehicle Dealer License in California can be found on the DMV website. Some of the linked documents can be found on the website for information. Some of the examples of what is required are the vehicle dealer handbook and the original dealer license forms.
I'm not in California but I'm guessing you will need at least, a business license, and a tow vehicle license for hauling vehicle's. Check with the Dept. of Licensing and the California Highway Patrol. Both have websites that will likely help you with your question.
That code is for not having A License plate on your vehicle 5200 (A) = no rear license plate 5200 (AX) = no front plates
No. You can only get car insurance if their is actual a vehicle to insure.
Yes, they can own a vehicle. They just can't drive it.
The letter E on white California license plate signifies that the vehicle is exempt. It means that the vehicle does not have to pay taxes.
Driving without driver's license. This answer above is incomplete.
front license plate covered with clear plastic
No