I drive through this area all the time. Most business districts are 35. You can fight it if you choose. Get the Nolo Press' book on fighting a speeding ticket. It gives you everything you need to know to fight the ticket. I have used it in the past to fight a speeding ticket and won (that should not be construed as a gaurantee of victory however). If you fight the ticket you will be required to pay the infraction fine (this is bail to ensure your return on the court date), and the judge will schedule you for a court date. Since the infraction occurred in Hollywood, you can call the Hollywood station, and ask if the issuing officer when scheduled for vacation, and then ask the judge for a court date during that time. No cop, no conviction since you have the right to face your accuser. Believe it or not stations will give out this information! You can then subpoena the records of the radar gun and all the calibration tools used for the gun that nailed you. If those are out of order in the least, case dismissed. If those reocords are in order, then you will need to go further. This is covered in any fight your ticket book, but I recommend Nolo Press.
Re. traffic school: You will need to attend the court date (arraignment) first, and ask the judge for traffic school as there are certain requirements that must be met in order to qualify. Among those qualifications is that you have not taken traffic school in the past 18 months. BTW, the only thing traffic school does is eliminate the point that will be added to your driving record, and the subsequent increase to your auto insurance. You will still have to pay for the driving school and the infraction fine.