"Ανατολή" literally means East. Sun is at the east side during Sunrise. That's why we call it Ανατολή. The opposite is called "Δύση" του Ήλιου which literally means "West" of Sun. Anatolia was called so because it was at the East. Hope I helped. :)

Dawn=αυγή. Dawn and sunrise do not have the exact same meaning as dawn is the time before the sun becomes visible.

Yes I suppse that's true in a sense. Though it may not be a very good translation here because there is no reference to rizing or moving in the greek sentence.

Why should there be an accent at the end? The word is either ήλιου or ηλίου.