South Carolina holds its Republican and Democratic primaries (for office other than President) on Tuesday, June 12. According to this story, there is still no decision on whether Paul Thurmond, a Republican running for State Senate, 41st district, is eligible. Presumably the decision will come down very soon.
If Thurmond is found ineligible by a state court, then the Republican Party will have no nominee for the 41st district seat, because all of Thurmond’s Republican opponents have already been disqualified.