My NJ car insurance policy is up for renewal. My insurer quoted me a six-month rate of $1,500. Out of curiosity, I went on their site and applied for a new policy. It was only $1,200. Is it always cheaper to purchase a new policy rather than renew your old policy?

I hit a deer last night, just weeks after paying off my car. Because I had paid it off, I switched to liability. But now I'm thinking of switching the policy back to full coverage to avoid paying out of pocket. Can I do this?