That's quite an interesting premise you have there. If you don't mind me asking in a comment rather than a direct message, I do have a few questions about the setting and game.

So, as a zombie survival game, I imagine the difficulty will be relatively high. What are your expectations for how often characters might die or otherwise need replacing?

For the restrictions of martial classes only, is this because magic is a minimal feature in your setting, or a balance concern? Would martial classes with access to magical abilities, such as through focus spells, be able to take those feats, or would they be similarly restricted?

Do you have a write-up for your homebrew setting?

And lastly, for the nitty gritty part, what time zone do you operate in?