See this news story about the Arkansas Libertarian Party’s nominating convention, held February 22. The party nominated candidates for U.S. Senator, Governor, Lieutenant Governor, and all four U.S. House seats. The party might have nominated more candidates, but a law passed in 2013 requires ballot-qualified minor parties to nominate no later than February, even though the major parties don’t nominate until late May.
The Libertarians petitioned for party status for the first time in 2012, but there was no U.S. Senate election, and no gubernatorial election, in Arkansas in 2012. The party did not get as much as 3% for President in 2012, so was removed from the ballot and had to re-petition in 2014.
The Green Party, the only other ballot-qualified party besides the two major parties in Arkansas, nominated earlier this month, but only has four nominees: for Governor, U.S. Senator, and two local government posts.