Short answers, pulled from the story.
The Battle of Hastings was fought on the 14th of October 1066, approximately 7 miles northwest of Hastings at the site of present-day Battle, East Sussex. Fighting began at 9 am and lasted until dusk.
King Edward the Confessor died on the 5th of January 1066 without an heir, triggering a succession crisis. Harold Godwinson was crowned king by the Witenagemot, but William of Normandy claimed Edward had promised him the throne and that Harold had sworn to support his claim, leading William to mount an invasion.
The traditional account, first recorded in the 1080s by Amatus of Montecassino, holds that Harold died from an arrow to the eye. The Bayeux Tapestry shows a figure with an arrow in his eye alongside the inscription "Here King Harold has been killed", though historians including Ian Walker and Peter Rex note the exact circumstances cannot be confirmed.
William deployed archers, infantry, and cavalry in sequence, opening with archers shooting uphill at the English shield wall. His forces also used feigned flights, wheeling cavalry away in false retreat to draw English soldiers out of formation and expose them to counter-attack. William of Poitiers states this tactic was used twice.
The exact numbers are unknown. Modern historians estimate Harold's English army at between 5,000 and 13,000 men, with most settling on 7,000-8,000. Estimates for William's Norman force range from 7,500 to 12,000 men. About 2,000 Norman dead and 4,000 English dead have been speculated by historian Peter Marren.
Harold's body was identified the day after the battle, either by his armour or by marks known to his common-law wife Edith the Fair. William refused a reported offer from Harold's mother Gytha to ransom the body in gold. Whether Harold was buried at sea, at a cliff, or at Waltham Abbey which he had founded remains historically unresolved.