First, from a fellow military guy (Air Force), welcome home! Guess you took good advantage of the tax break! Yes, there is still a miltary discount available, but you'll need to call to get it, as far as I know. There's also always a 10% forum discount, "shineon" (one word), and they offer sales a couple times a month on average.
Yep, you can use the FG to apply the soap. Don't have to, though. And there are lots of other products you should consider (Paint Sealant, for example), so I suggest watching the videos on the Adams website then ask any questions you have one these forums.
Now, let's see some pics of that new ride! Head over to the New Member forum and post your intro.