That looks good. Looks like you get everything you need to start rebuilding the atomizer.
Yeah, it comes with wire and cotton, however I never use cotton that comes with tanks as it's always crushed and no longer fluffy. I also never use the wire that comes with an rta because I have my own that are made of known materials and in the gauges I prefer.
Included wire and cotton aren't anything you should be concerned with when deciding on your RTA because those things can be bought from non-vape retailers. The FDA or the government aren't going to ban or restrict the shipping of wire and cotton. They can only do that to wire and cotton that is labeled and marketed for vaping (like Cotton Bacon and such). You can find Ko Gen Do, Muji and Puff brands of Japanese Organic Cotton on Amazon and Ebay as well as many other sites and wire can be bought by Temco Industrial.