If the car is still going to be driven, then yes it does need insurance.
In Texas you do.
Yes, of course you do! :)
Usually not, collision and comprehensive only pay based on pre-accident value of the car, which for a salvage is very little if anything. You will need liability and it might be useful to have uninsured motorist.
Yes, you have the right to retain you car at salvage price at time of settlement.
Some insurance companies will sell the car back to the owner. Others sell the totaled car to a salvage yard.
Yes. Getting insurance and plates with a salvaged title car should not be a problem. It shouldn't affect any of that... the only thing you need to worry about is if the place you got the car from properly fixed all of the problems on the vehicle.
When buying the salvage vehicle, ensure that you search the history of the vehicle.
Any agent should be able to help you.
Some companies will let you buy liability insurance. almost none will offer full coverage. A salvage title means the car has already been totalled before.
I know of no insurance company in any U.S. sate that will give you full coverage on a salvaged vehicle.
You typically need a car, or other vehicle, to get car insurance.