I would try to shop around different carriers. Most of them only count for 3 years not 5. Also, make sure if you qualify for the "Good Driver Discount" you're getting it. Also, combining homeowner policies with the same carrier can help get a discount. Lots a variability among carriers. Also, online traffic school is good for getting one of them "masked" by the DMV so the insurance carriers don't count that one. Also, my radar detector has helped a lot to avoid getting into trouble. They are perfectly legal here, just not a perfect protection in all situations.

"In California, state law dictates that insurance carriers must give their customers a 20% discount if they meet certain criteria. The law was part of Proposition 103, which went into effect in 1989.

According to the law, California drivers are eligible for the Good Driver Discount if they meet the following requirements set by the state:

They must have continuously held a driver’s license for a minimum of three years.
They must have one or fewer points on their driving record.
They must not have been to traffic school more than once.
They must not have been involved in any at-fault accidents that resulted in injury or death.
They must have no DUI-related convictions within the last 10 years.

If you live in California and meet these requirements, your insurance carrier is obligated to give you 20% off your car insurance — no matter which insurance provider you use. If you qualify but are not currently receiving this discount, you should contact your insurance carrier as soon as possible."

My elderly mom get screwed over when her doctor reported her to DMV for a medical condition and they suspended her license for a short period pending an appeal. Her carrier totally took advantage and remove the discount costing her a lot. It was Automobile Club of Southern Calif (AAA). Despite having been a customer for 50+ years. F them.

Also, I've heard, so take it with a grain of salt, that CHP officers never miss court dates cuz they get paid to go and sometimes OT for it. Never tried the attorney route, but probably worth a try. Best of luck.