The cost is always 20 bucks unless it's some special charity event or you become a member of one of the clubs.
There really no requirements or licenses (you dont even need a drivers license), just as long as your battery is secure, brakes work, and tires are pretty decent. Basically if it will pass state inspection you should be ok.
There are no restriction on mods either but it will put in some classes with very fast cars and drivers.
If you could, just list your all your performance and suspension mods and we should be able to tell you what class your going to be in.