Oswald went to Mexico City in September 1963 where he applied for a visa to visit Cuba. While living in New Orleans, he scuffled with anti-Castro groups while handing out pro-Castro leaflets on the street. Tensions between Cuba and the United States were high at the time. The assassination took place a year after the United States and Russia nearly came to war over nuclear weapons on the island.
Some authors have speculated that anti-Castro groups wanted Kennedy killed because of the failed Bay of Pigs invasion in 1961, or that Castro himself ordered the killing given the fact that the CIA had tried to kill Castro during Kennedy's time in office. But G. Robert Blakey, chief counsel of the 1979 House Select Committee, says that neither scenario was likely.
"We went down to Cuba, and we sat in Castro's office," Blakey, now a law professor at the University of Notre Dame, told Discovery News. "He was persuasive and said that he had nothing to gain. He said "I'm dealing with a capitalist system and I'm a socialist system; the people don't make a difference.' Why would he want to kill Kennedy to get Johnson?"