On April 24, the South Carolina Supreme Court heard oral arguments in South Carolina Libertarian Party v South Carolina Election Commission, 2014-775. The Court indicated it will issue an opinion by the close of business April 25 (Friday).
By their questions and comments, the Justices seemed to signal that they believe the South Carolina Election Commission had no authority to tell the Libertarian Party that it may not have a primary this year. UPDATE: see this AP story about the hearing.