HI bfgmovies;
I think the metal bracket is for your muffler to mount and stabilize it, i have no idea what the plastic nut is?(is it even a nut?)
it's a gear puller. you use that if you want to pull your clutch apart. hopefully you'll never need to use it.
the muffler clamp doesn't really fit well, at least not on any of my bikes, but the big part clamps to the muffler, and the smaller part clamps to your frame.