The E.P.A. chief, who has reversed Obama-era rules on coal mining, enjoyed a superfan experience at a University of Kentucky basketball game — courtesy of an industry executive. But there was more to the game last December than a superfan experience for Mr. Pruitt and his son, who joined him. They sat in seats belonging to Joseph W. Craft III, a billionaire coal executive who has engaged in an aggressive campaign to reverse the Obama administration’s environmental crackdown on the coal industry. Mr. Craft and his wife donated more than $2 million to support President Trump’s candidacy and inauguration.