Indian Prime Minister Narendra Modi, once barred from the U.S., now faces the task of easing trade spats with America ranging from protectionism to patent rights. Modi, sworn in as premier yesterday, inherits disputes with India’s largest export market that cloud prospects for scaling up $65 billion in annual trade. In the backdrop is the U.S.’s denial of a visa to Modi over his handling of deadly riots in 2002 in Gujarat, the state he headed, a decision scrapped after he swept to power in parliamentary elections this month.