If I have a combined auto insurance policy with my my spouse, does the claim history follow both of us?

I have a contract of automobile insurance with my wife. He had an accident and filed a complaint. He has no intention of buying another car and use public transport. If I drop of my policy, my rates go again because of his claim, even if it was not involved in the accident? If I go with a different insurance company only for me, you also cite the higher rates because of demand?
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What’s the best place to purchase both auto and home insurance from?

I’m buying a new home and change my auto insurance provider, such as insurance companies can offer me the best deal when it comes to providing both home and auto insurance as a package combo?
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