I love post-apocalypse games and it's a really good take on the genre. Character archetypes are cool and define both what they do and how they do stuff. I also like how easily you resolve the random events problem: "roll a d6 regularly" (instead of exact conditions at which it must be rolled) is something more games should implement IMO.
There are no PC health rules, I assume it is intended for a more freeform style gaming? I'd just eye-ball health based on check results. Is it kinda the way you do as well?
Congrats for this entry!