The key is not provided in the email or Origin at all. After reverting from Windows 10 to 8.1 again, Origin shows that I own my games but will not reinstall them because of a retarded error saying "Certificates do not match!" and Dev: Cert check failed! Check Origin build.
The game folders and installers are on the hard drive still and worked before Windows 10 broke my PC. Island Paradise and Into the Future never had keyed show up and assume that Origin will reinstall but Origin does NOTHING because of that damned error and nothing is helping to reinstall those expansions. The other ones I reinstalled using the keys I had now show in Origin but I could not reinstall from Origin due to that error.