I know absolutely nothing about these characters or Greek history, so on my first playthrough I dumb luck-ed my way into killing the same guy as Agamemnon, then preventing the war entirely. Yay? I'm definitely gonna keep at it, see how much more there is to do. (Related: this makes me want to read the Iliad.)
I adore the visual design and writing in this. There's clearly a lot of effort put into both, and they work well together.
Also, I think you should be less harsh with yourself. There's a lot in this. I'm pretty sure that the how-to for this game is longer than my submission's entire script. This is excellent work, and you did great.