I'm kind of a stickler when it comes to stuff like this in an app. I feel like you could've done a bit more of a constructive statement, but otherwise they both carry the same weight in words so it's not really that big of a deal.
Anyway, past that, I've roleplayed with you quite a bit. Granted, it's not a lot of times that we did if I recall, but the interactions nonetheless were memorable themselves,. You're an above average roleplayer from what I've seen so off the bat I'm already kind of inclined towards a 'yes'.
The story you have written is reminiscent of something Tom Clancy would write. The fact that you put in the effort alone to write numerous paragraphs shows you're not in it for the scripts, rather to establish a well-developed character with a thought-out backstory. There's a great bit of attention to detail, as to show you know what you're getting in to if you get authorized. The music was a nice little addition to build atmosphere to the story, as well. Again, detail and sincere interest in developing this character shows. An interesting tid-bit to note is that you chose S.A.S instead of any of the U.S forces, which I share the same opinion as Squeje, it's a breath of fresh air to see that.
As for the actual auth itself, what I really appreciate is how you went deep into detail with the specifics and even miscellaneous objects are included, like something as simple as the Abseil rope. I know I might be kind of underplaying the use of the item, but still. Another cherry-pick on my end is your negative traits. It makes sense for someone in the service, or who was in the service, to be a bit of a stern guy and a paranoid one, too. I just hope these attributes don't pop up all too often. Granted, negatives balance out what you have for the positives, but worst case scenario would be some paranoid guy who doesn't trust anyone so he stays away from the masses, and for when he does interact, he'd come off as a hard-ass and be a know-it-all. I trust you to make it work in a way that isn't that hampering on the experience, yet is still a sort of burden, if that makes sense.
The only weakest link in this authorization is the 'why', in my opinion. Otherwise, everything else shows effort to go above and beyond to establish a character. +Support