Short answers, pulled from the story.
Henry Carey entered the world on the 4th of March 1526 as the second child of William Carey and Mary Boleyn. His mother was the sister of Anne Boleyn, who would become Queen Henry VIII's second wife.
Elizabeth named him Lord Chamberlain Lieutenant on the 20th of July 1588 in Tilbury where he served as Principal Captain and Governor of the army for the defence and surety of our own Royal Person. He held this position until his death on the 23rd of July 1596.
His marriage to Anne Morgan resulted in thirteen children including Sir George Carey who lived until the 8th of September 1603. Two of his sons George and John successively followed him as Baron Hunsdon after his death.
On his deathbed he refused his cousin Elizabeth I's offer to make him Earl of Wiltshire saying Madam as you did not count me worthy of this honour in life then I shall account myself not worthy of it in death. This decision occurred shortly before he died at Somerset House Strand on the 23rd of July 1596.
On the 2nd of March 1592 Carey was appointed High Steward of Oxford for life. These roles required constant vigilance along the volatile northern frontier where Mary Queen of Scots had encouraged Dan Carr to make trouble in Teviotdale and Liddesdale.