A bronze age setting is super cool, it gives off Iliad/Jason and the Argonauts vibes.
I caution you not to get too invested in your setting though. It's a lesson I had to learn the hard way.

Players will never invest in it like you will, and they will never understand it as well as you hope. I loooooove to world build, it's my favorite thing, but your players will have assumptions about how things work that may not be compatible with that you've built in. Just don't get frustrated when your players don't treat your Persian flavored King differently than your Greek flavored Kings.

I like the idea of the 3 hooks, it really makes the setting feel lived in when the world evolves without the direct influence of the players.

Sounds like a fun campaign to me!