"When was the first "history of the French"?" I don't know, but your link is NOT about the history of English neither... Read it "Ecclesiastical History of the English People" is not History of the English.

"the Earls were not Feudal Vassals but the King's deputies in their respective counties" In theory. In fact it is the meaning of Baron and Comtes in the Carolagian Empire.
And you still not backing-up your claim of a great sense of Englishness, political or institutional.
England was part of the Roman Empire doesn't mean the English inhabitants felt Romans.

"and that's what really ended the Hundred Years War." Hmm, I would say the end of the French Civil War was.