An elector may contest the right of any person to any nomination or election to public office for which the elector has the right to vote if the elector believes that:
(1) a deliberate, serious, and material violation of any provision of the law relating to nominations or elections has occurred;
(2) the person was not, at the time of the election, eligible to be a candidate for the office;
(3) votes were cast illegally or were counted or canvassed in an erroneous or fraudulent manner.