Answer:
1. The fall of the Roman Empire. (476)
2. The coronation of Charlemagne. (795)
3. The battle of Hastings. (1066)
4. The start of the Hundred years war. (1337)
Explanation:
First of all, all the battles and kings must have happened after the existence of Rome. So Rome falls.
Then, in 795, Charlemagne, king of the Franks was crowned Holy Roman Emperor by Pope Leo III (795). This was not the old Rome anymore, but the Holy Roman Empire.
The Battle of Hastings was fought on October 14, 1066 between the French-Norman army of Duke Wilhelm II of Normandy (r. 1035-1087) and an English army under the Anglo-Saxon King Harold II.
The Hundred Years War took place in the Middle Ages, between the years 1337 and 1453 (duration 116 years).