Connecticut

Typically, no. You don't want liability only because the car will not be sufficiently protected.

The car can only be registered by the owner. If you sign the title over to someone else, they will own the car and can register the car in their name.

My condolences. Yes, you can and should add the car to your policy.

No, since you will be driving your parent's car, they will need to add you to their policy. There are a few reasons.

Yes, there are several companies that will insure you with a learner's permit. Not all companies will do it but most will.

Connecticut does have a subrogation law which states you "are entitled to a comparable rental vehicle or reasonable compensation, for a reasonable period of time necessary to settle your claim or repair your vehicle." However, because you do not know who the individual is, I am not sure how would be the party to compensate you. Normally, you would need your rental reimbursement coverage.

There are car insurance companies that will insure salvaged vehicles but there aren't as available as vehicles that haven't been totaled and repaired. Also, you might end up paying more in premium for what the insurance company sees as an additional risk.

While it can vary by car insurance company, most insurance companies will charge (rate your premium) for any ticket or violation for 3 years. After that 3 years, you won't be charged.

The zip code where the vehicle is primarily kept is what needs to be used for insurance purposes. Depending on your age, company, and residential state, you may have been able to stay on your parent's policy, but since you now live off-campus you will have to use the address where you live.

While excessive claims can cause your rate to increase or impact your ability to find coverage with other companies, one single glass claim is unlikely to cause much, if any, impact. Generally, glass claims are the least likely to cause a rate increase or a non-renewal with your current company.