If the transaction was completed, in other words, if the consideration was paid or the loan was signed and the title was issued in your name, you own the car.
There are many Dodge dealers in California. I am sure you can drive down a street and find many dealers if you were looking. You can also look them up and call to see which ones are doing the better deals at the moment.
A named non-owner policy. Or a dealers blanket policy (what car dealers use)
Persons under 18 may not be employed to drive a motor vehicle.
There are no official dealers in Australia because the vehicle is available only in left-hand drive and can't be registered to drive on a road.
Yes, they can own a vehicle. They just can't drive it.
Test driving a vehicle with the salesperson in the vehicle. They should put a dealers tag on the vehicle before you left the lot. It will fall into the dealerships insurance policy.
Most states have a "no-cooling off" period for vehicle purchases. California, for example, is one that has a law different than this. When you drive off the lot with a vehicle, it is legally yours. However, you must keep in mind that when financing through the dealer, until the bank cashes the contract (gives them the money) it is up to them whether to take it back or not. It is a simple process, but most dealers will probably not comply. Another option would be to talk to the bank that you financed it with. If for some reason the information the dealership submitted to them through the application was incorrect, they may not "cash" the contract. If the dealer cannot get the money they will likely demand the vehicle back.
This is not a state specific question. If you are given permission, then you are covered. Note: you can only drive a rental vehicle if your name is on the rental agreement.
Not in California. Check your local motor vehicle department for that one.
Not in California. Check your local motor vehicle department for that one.
The question is too vague. There are many determining factors: What is the mpg of the vehicle? From where in Texas to where in California?
You can own a vehicle at any age, you can drive it on private property so long as you have the permission of the land owner.