Short answers, pulled from the story.
Fritz Leiber is best known for his Fafhrd and the Gray Mouser stories, a fantasy series written over 50 years set in the city of Lankhmar. He also won major awards for science fiction novels including The Big Time and The Wanderer, and horror fiction including Our Lady of Darkness.
Yes, Fritz Leiber is credited with inventing the term "sword and sorcery" to describe the subgenre of heroic fantasy exemplified by his Fafhrd and the Gray Mouser stories. He was also a founding member of the Swordsmen and Sorcerers' Guild of America.
Fritz Leiber won multiple Hugo Awards across different categories. The Big Time won Best Novel in 1958, The Wanderer won Best Novel in 1964, and he won Best Novella in 1970 and 1971. "Gonna Roll the Bones" won Best Novelette in 1968, and "Catch That Zeppelin!" won Best Short Story in 1976.
Leiber initiated a brief, intense correspondence with Lovecraft in 1936. Lovecraft encouraged and influenced Leiber's literary development before dying in March 1937. Leiber later wrote a 1949 essay titled "A Literary Copernicus" that is credited with helping establish serious critical appreciation of Lovecraft's work.
Fafhrd was based on Leiber himself, and the Gray Mouser was modeled on his friend Harry Otto Fischer. The two characters were created in a series of letters Leiber and Fischer exchanged in the mid-1930s, before the first story appeared in print in 1939.
Fritz Leiber died on the 5th of September 1992. The cause of death was a stroke, occurring a few weeks after a physical collapse while traveling from a science fiction convention in London, Ontario, with his second wife Margo Skinner, whom he had married in 1992.