Whether either a PJC or a non-moving violation will be available to you is up to the judge and/or district attorney. Passing on a double yellow line is a charge for which you should definitely hire a local attorney to negotiate the best resolution possible for you.
If you have no other tickets in the last three years, then the 9-over will not give you insurance points. If you are given the option of traffic school, then you should take it and then it would be reduced to another equipment violation.
If you pay the ticket in advance, then you would not need to appear. If you have not had a ticket in the last three years, then you would not get an insurance increase for doing this. If you have had a ticket in the last three years, then your best bet is to hire a lawyer to help you. If the case is dismissed, you do not have to pay the court costs. If you plead not guilty, but are found guilty, then you would have to pay.