Hello again! Giving this another go, and I've got some feedback.
First, I very much appreciate the changes you've made to the opening scenes of the game. Glad you could take the criticism and adapt. It sounds a lot more accurate to real jargon than the first attempt. There are still a few minor discrepancies, but you fixed the vast majority of it, so a bit thumbs up there.
You still have a few minor issues to address, most of them spelling mistakes and some inconsistencies in your use of the narrative voice. I did catch a couple of factual discrepancies, though, that I wanted to mention: first, "Zulu time" is a specific time zone, more appropriately known as UTC. If they're in California, then they cannot also be in Zulu time, as it's an entirely different time zone. Edit: just to clarify, what the nurse should have said was "military time," not "Zulu time." (And going back, I now see that Jack actually thinks about her not understanding Zulu time. I missed that the first time.)
Speaking of California, there is no statewide sheriff. Sheriffs work on the county level. While there are some state-level law enforcement agencies, it would be really unlikely they'd be involved in a local investigation unless it touched on a broader, statewide investigation. It's an easy fix here: just change the mention of the "chief of the California Sheriffs' department" to "the Sheriff of Suchandsuch County." (That's another minor correction: Sheriff's (singular possessive, not plural) departments don't have chiefs, they have Sheriffs.)
Another thing: a soldier's records, specifically the DD214 (form that details a servicemember's units, schools, and awards when they ETS [end time in service]), are public record, and are maintained by the National Personnel Records Center (NPRC), not the Department of Defense. While some records might be classified, a DD214 would not be (though information might be missing). The details of a Medal of Honor award are also public, with the language actually listed on the award being easily available for every single MoH awardee. The MoH is a big fucking deal. I get that it's touched on lightly, but the fact that Jack has received one should have lent him significant credence and leeway from law enforcement, especially considering how many LEOs are also veterans.
Since MC is a veteran, and a MoH winner, you really need to make sure you understand what the benefits of having a MoH are, and what comes with being a disabled veteran (and Jack is absolutely a disabled veteran with the level of wounds he took in combat; disabled doesn't automatically mean "crippled"). For instance, any future involvement with medical should be at a VA hospital, not a civilian one, as his care at a VA hospital would be 100% covered.
MC would also likely have an income between $3,500-5,000 a month from his MoH and from disability, depend on his disability rating. He's allowed to use what's called "Space A" travel via military flights for free. He has access to MWR and lodging on all US bases (and of course commissary and PX privileges). And his children (including adopted) would be accepted into any U.S. military academy as long as they qualify (not needing a sponsor). Plus a bunch of other stuff that you can check for yourself, but that likely wouldn't matter for your story.
I think I'll end it there with the infodump. I will say, I appreciate the time taken to try to make this as realistic as possible in certain aspects, even if it misses the mark sometimes on the details. Keep up the solid work!