Each insurance company has different guidelines when it comes to how they handle claims and repairs. As long as they are following the guidelines agreed to within your policy documents, then they are meeting the requirements on their end, so refer back to your policy and check what's covered and what's not.
There are several different rating factors that insurance companies take into consideration when calculating your personal rate. Some of the factors include, location of the car, drivers age, type of vehicle, driving history, and even your credit score, just to name a few.
Having a salvaged title can be tricky when you are wanting to add coverage for physical damage (comprehensive and collision). Many companies will not insure the car with comprehensive and collision because of the very definition of a salvaged title: the car has been considered a total loss, meaning the damage to the car costs more than what the car was worth.