Short answers, pulled from the story.
The King's Men playing company received a royal patent on the 19th of May 1603. This document named nine players including Lawrence Fletcher, William Shakespeare, and Richard Burbage as Grooms of the Chamber under James I.
Ticket prices at Blackfriars Theatre ranged from sixpence to two shillings sixpence while Globe tickets cost between one penny and sixpence. The most expensive Blackfriars seat cost five times more than its Globe counterpart.
Joseph Taylor transferred from Prince Charles's Men to replace Richard Burbage who died on the 13th of March 1619. Taylor played Hamlet and other great roles originally performed by Burbage.
Parliament ordered all theatres closed on the 2nd of September 1642 because Puritans gained control of the government. Theatres remained officially closed until the Restoration in 1660.
The King's Men performed eight times at Court and eleven times in their second winter from November 1604 through February 1605. This schedule included seven plays by Shakespeare and two by Ben Jonson.