Short answers, pulled from the story.
The Battle of the Nile was a naval battle fought between the Royal Navy and the French Navy at Aboukir Bay in Egypt, between the 1st and the 3rd of August 1798. It was the climax of the Mediterranean campaign of 1798, in which a British fleet under Nelson decisively defeated a French fleet under Brueys that had escorted Napoleon's army to Egypt.
Rear-Admiral of the Blue Sir Horatio Nelson commanded the British fleet at the Battle of the Nile. He was wounded above his blinded right eye during the battle but returned to the deck before the fighting ended.
Vice-admiral François-Paul Brueys d'Aigalliers commanded the French fleet at the Battle of the Nile. He was killed when a cannonball struck him in the midriff aboard his flagship, Orient.
Napoleon sought to invade Egypt as the first step in a campaign against British India, part of a wider effort to drive Britain out of the French Revolutionary Wars. Egypt was nominally part of the neutral Ottoman Empire, and controlling it would let France threaten Britain's communication line with India.
Only two French ships of the line and two frigates escaped the Battle of the Nile, out of a total of 17 French ships engaged.
Orient caught fire during the battle and exploded at 22:00 on the 1st of August 1798. The blast killed Captain Luc-Julien-Joseph Casabianca and his twelve-year-old son, Giocante, along with more than 1,000 of the crew, and fewer than 100 men survived.