(a) If a candidate who was the nominee of a political party in a new election ordered by a court in an election contest in which the contested office was to have been filled at the general election for state and county officers dies or is declared ineligible before the date on which the district court sets the date for the new election, the appropriate party executive committee may name a replacement nominee in the same manner as the committee fills a vacancy in a nomination in a regularly held election, except that the district court shall set the deadline for certifying the name of the replacement nominee for placement on the ballot.
(b) The district court may not set the certification deadline for a date earlier than the fifth day after the date on which the court sets the date for the new election.