This is a very fasinating take of the post-WWIII and pre-Starfleet era on Earth. I love the attention to detail you packed into your story, drawing up a post-apocalyptic world remiscent of something like Mad Max with a strong Trek flavor. It all feels very thought-out and creating a brand new universe is always a big challenge.
I also like the idea of the APC which seems to be a model for how starships will later operate.
I'm not usually a big fan of post-apocalyptic stories but at least here you know that things can only get better ... eventually.
Great stuff, keep it coming.