To sort of get back to Scott's original question....
Don't sweat the background check unless you've done something that might preclude you from your purchase. As for the number of weapons, if
there's a "secret" data base somewhere, I'm sure there are a few members here and on other boards that own quite a few more than 1
weapon (myself included), including those evil, nasty "assault weapons" like AK-47s and AR-15s, among others.
Buy your weapon and enjoy
the ownership and use of it. As the old phrase goes, "Don't sweat the small s**t!"