On 520 acres of rolling hills in Bedminster, the property was bought by Mr. Trump in 2002 and opened two years later. It was a preferred retreat for Mr. Trump before his first term, and he often spent his summers there. He still visits on occasion. Trump National features several dining rooms with views overlooking its 36 holes, and its website boasts that the club uses the finest and freshest ingredients. On that May visit, the county health inspector, Sumera Khurram, uncovered something different behind its clubby rooms filled with tufted leather chairs. After tallying 18 violations in all, nine of them critical, Ms. Khurram determined that the chef in charge during her review had failed to “demonstrate knowledge of food safety.” Ms. Khurram also conducted the follow-up review on Wednesday, but there was a different person in charge of the club kitchen — Trump National’s executive chef. Most of the initial concerns had been addressed. But she recorded new violations, too. Two were considered critical, including coffee creamer that had registered 50 degrees instead of the required 41 degrees. It was poured out.