Read Ronald Kessler's books on the FBI. He shows that the "photos", if they existed, were frauds. Bill Bonanno claimed he saw some photos, and if he did they were phony. Jimmy Alo was interviewed late in his life and said if he and Lansky knew about the photos they would have blackmailed Hoover into putting a stop into the investigations on Lansky. That's evidence itself that there were no real photos: Lansky was one of the most investigated people the FBI went after.

As for Hoover's alleged homosexuality, who knows? No evidence either way, except he did date a famous actress in the 1940s. People who knew him said he was married to his job. The fact is, not everyone is interested in sex.