Yes it can.
The Company who owns the vehicle would be responsible for deductibles listed on the policy their own policy.
Most of the time just about anyone can be listed on an insurance policy as a driver regardless of who the named insureds are. My Father-law is a listed driver on one of my policies because he drives one of my vehicles and keeps it at his apartment. I still own the vehicle so I am the named insured on the policy. If your parents own the vehicle that you are driving then it should be possible to be listed as a driver on their policy. If they live in another state or they aren't the owner of the vehicle then it would be more difficult to be on a joint policy but not impossible.
Being listed as a driver on one auto policy will not hurt you when you go to get your own policy. If you have a car that you own, and you are listing that on your policy, you should be very careful as you cannot insure a vehicle you do not own. If you have an accident, you daughter's auto insurance will not cover a car that you own unless she is a co-owner on your car's title.
If you are listed as a friver you should be covered under his insurance which means you should be able to add your vehicle as wee.
If and only if you live in his household and are a member of the immediate family. If you are an adult over 21 it is usually best for you to have your own policy. If you live in the same household then you both have to be listed on each others policy.
Yes, it does not matter if you have your own policy or are listed on someone else's policy, you will be surcharged for the DUI probably for the next 5 years.
I assume the date of the citation would be part of the information available to the insurance company. If he gets his own policy, he will be bound to report the accident to his company and this will affect his premium. There is probably no benefit to getting his own policy before going to court.
Typically the owner of the car insures the car and lists all drivers of that vehicle regardless of where a driver may live. I own a vehicle that my father in-law keeps at his place. I have the vehicle listed on my own policy and him as an operator.
A deferred driver is a listed driver who has a policy elsewhere and therefore is not used in the rating of the policy from which they are listed as deferred.
A person listed as a beneficiary is the receiver of any proceeds from an insurance policy. They are normally named in the policy document or can be named in a will.
As long as she has her own policy on her own, it would not affect your insurance in the sense of premium or the need to have her insured on your policy. However, most auto insurance company want to have her listed as a driver in the household since she lives with you. The policy actually follow the vehicle and not the driver. If she was to drive this vehicle and get into an accident, your policy would be the primary and her policy would be secondary.