Go to court, plead not guity, they will set you up with another court date. Once that second court date comes, make sure you get there very eartly and talk to the DA. Give him the sad story, and ask him if he could take the points out if you pay a higher fine. Just bargain with the DA. If you have a clean record make sure he knows about it. BTW, sooner of later, points will show up in your record if you don't get them off.
Good luck.