According to this article, a local Republican Party in Alabama has decided to allow James Hall to run in the June 2014 Republican primary for a seat in the legislature, even though he tried to run for Congress in November 2013 as an independent candidate. However, the story says another candidate, for county office, was denied the chance to run in the party’s primary.
Also, see this story, from another Alabama county, describing another instance of the Republican Party barring a candidate from its primary for county office.