Sorry for the delay. By the time you responded, I'd turned off my computer for the night.
No, you cannot sue the police with regard to this matter for a number of different reasons. First of all in California, a suit for false arrest must be brought within 1 year of the incident or the statute of limitations expires and it is too old to be prosecuted. You are outside of that one year period and are now time barred.
Secondly, police are immune from suit or prosecution when acting during the course of their regular duties, unless you can demonstrate negligence or misconduct.
Finally, you took a plea to get rid of your case. Had you fought the matter and been acquitted, you would have been able to make a suit for false arrest/malicious prosecution. But one of the elements of such a suit is that the case comes out in your favor. Yours did not. Once you plead guilty to the charge on the record, a false arrest automatically becomes a true one.
You can file a complaint with the police officer's superiors, with internal affairs and with your state Attorney General about the conduct of the officer. But you don't have a suit any more.
I'm sorry to be the bearer of bad news.