The halos dont, but if the fogs are anything like the angel eyes, then yeah. They will light up the road better then the stock headlights with halogens.
Yes, they are independent of each other. At least you can wire them that way. I had the halos hooked to the running lights, and the fogs to the fogs. So if I switched the fogs off, the halos were the only ones on. Turned the fogs on, both were on.