Gramm defeated Paul 73.3% to 16.5%. https://en.wikipedia.org/wiki/1984_United_States_Senate_election_in_Texas I just don't see how Paul could possibly have gotten the nomination.
The only way I see Paul getting a senate nomination is absent a primary runoff system, and in a heavily divided field where he comes in with a plurality below thirty percent of the vote. But Texas had a very well-established system of runoffs, at least as far back as 'Landslide Lyndon'.
Nowhere go on this one.