A slander or libel action falls under the scope of the general term: "defamation of character." You must file a "complaint" stating the facts which if proved true at summary judgment or trial would require that the court give judgment in your favor.
The Calfornia Judicial Council provides some forms that you can fill out.
However, the forms are extremely "bare bones," and you many need some knowledge of legal pleadings to be able to use the forms properly. A lawyer would not use the forms. Instead, the attorney would draft this type of pleading from scratch, on plain paper based upon the specific facts of the case.
Concerning a public official using status to obtain favors, that's something that public officials do all the time. However, if there is an exchange of something of value, in order to obtain a favor, then that is a criminal offense. Penal Code 67 et seq.
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