Well lets see
Hero is consider as a Greek word Ηρωας
Ηρωας is connected with the name Ηρακλης Hercules
Some connect it with goddess Hera, and some with Arian Aryan AR->ΗΡ
Hero in Greek means the one that fights erectus, and not behind others, or hides
Hero means the one that can achive the impossible,
according legend yes Hero must pass the dillema of Αρετης και Κακκιας (Good and bad)
No the reasons are always doubt or in debate,
As an example the one that for someone is Hero for some, may be Devil for other.
Take the cases of a war, the Hero of 1 nation is the Devil for the other,
A hero is person that will be connected with Myths, and a unification movement.
But also A hero can be someone that pass 7 oceans to find his loving girl
If you watch Homer poetry it connects characters and lives with Heroism.
Achilleas could be a old wealthy and BIG king but decided a short life and only 1 fight was enough to pass eternity (glory, war hero, Pride)
Hectoras Well he is a hero, man of principals, traped 2 times. 1 from his brother, and 1 from Patroclos (the National Hero, the martyr)
Patroklos hmmm not a fighter but a hero, his sentiments drive him to steal Achilleos arms and Defend retreating Myceneans. (sentimental, Heroism of the born looser, the unexpected Heroism)
Paris hmmm as described in Ilias is not a hero (the eternity will-want to be someone, even by cheating, the fake Hero, the one who wants to be someone that he is not)
Aias Ajax is the hero that is hero but people just ignore him, and thats makes him mad (non balance hero)
Priamos another type of Hero, the old man, the old hero that dares to kneel to take his sons body.
(the inner world Hero, the old man that still got principles)
King Nestor the wise hero
finally Odysseas, the every day hero, the smart hero, the eternal fighting hero, the don't give up Hero.
Odysseas is the every day fight for survive Hero.
Choose your types and pick
the only one miss in Homer is a revolt Hero, a Spartacus.