The sulfur smell is from hydrogen sulfide. It can be removed a number of ways. the carbon filter is probably the easiest. See the following, couldn't figure out how to do a direct link.
The brown stuff is probably suspended solids. Iron is usually dissolved and doesn't come out of solution until it hits the air. Like when you get rust stain in your sink. The carbon filter will take care of that too.
The cloudyness in the water is probably dissolved air. If it is, you will be able to see the bottom of the glass get clear as the air bubbles rise. This is not a problem for your beer.