It is up to the court to decide what to do. I do know that sometimes the class C charge banks are not linked court to court. Place B may not even know about place A. Follow the advice on the site and hire an attorney who has experience in traffic court to help you out.
Answering this question does not create an attorney-client relationship. Legal advice has not been given. Also, this question and answer is posted on a public forum and therefore any attorney-privilege is waived.