Should I weld this replace it or does anybody have a solution

I can't tell exactly what we're looking at here, but if the exhaust is rusting out you're best off replacing it. Welding can only do so much with failing metal. Any exhaust shop should be able to replace it with custom pipes if needed---why can't you get it to a shop?

Yeah you might get by with something like that for now, but as Chase said above you likely have other issues as a separated exhaust pipe is not going to cause the problems you mention.