No, your score will not be affected by a credit check from an auto insurance company.
Yes, your credit score will affect the rates you receive. Higher credit scores typically lead to better insurance rates.
No, it is not tax deductible.
In most cases, your insurance will cover rental cars, but this depends on the specifics of your policy. Please check your policy for more accurate info.
Yes, there are special types of insurance in these instances. SR-22 is the most common type.