Short answers, pulled from the story.
Henry VIII seized the land that became Soho in 1536, turning it into a royal park for his Palace of Whitehall. The area remained Crown property until Queen Mary sold portions of it starting in 1554.
John Snow conducted an epidemiological study during an 1854 cholera outbreak in Soho and identified water from the public pump at Broad Street and Cambridge Street junction as the source of infection. He persuaded authorities to remove the handle of the pump to stop collection of contaminated water.
Chinese immigrants started moving from Poplar to Gerrard Street during the 1950s due to cheap rents. By 1970, the street had become the center of London's Chinatown with numerous Chinese restaurants and shops.
The Windmill Theatre claimed to be the only one not closing during World War II except for compulsory closure between 4 and the 16th of September 1939. Vivian Van Damm introduced non-stop variety shows starting in December 1931 there.
On the 30th of April 1999, the Admiral Duncan pub on Old Compton Street suffered damage from a nail bomb leaving three dead and thirty injured. David Copeland planted the third bomb attempting to stir ethnic and homophobic tensions.