And if you look at NickFury's list, Tigerman, you'll note that your rifle is semi-auto and accepts detachable magazines. That means you are allowed ONE and ONLY ONE of the 5 listed features on your AR. Nearly everyone chooses the pistol grip, which means that you can't legally have any of the others.
That's why people who want these features pay lots more money for used rifles (i.e., "pre-bans") then for brand-new rifles.
Any muzzle device that reduces flash in any significant way is considered a flash suppressor, regardless of the devices name or intended function. Also, any muzzle device that is 22mm in diameter is a grenade launcher, which also counts as a named item.
A muzzle brake is designed to reduce recoil (movement to the rear).
A compensator is designed to reduce muzzle rise/flip.
Most of the devices that are commonly installed on ARs that are called "brakes" or "comps" are actually both, though some do one or the other better.
-Troy