Should I Tell my Insurance Co My Charge Was Dismissed?

I was in a 2-car accident in Virginia 3 months ago, both drivers were injured. My insurance co (Liberty Mutual) took total liability after police issued me a ticket. The other driver did not get a ticket. Liberty Mutual is now in the process of reviewing the other party's medical bills to determine payment. Just last week I went to court for the ticket I got. The judge dismissed my charge mostly due to the other driver's own testimony. I'd like to know if my insurance company has the option to re-negotiate with the other driver's insurance (Allstate) to change the liability to a different term

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