Can I from one computer to another computer, install the game and use it for the same code? Because later I get a new computer and I do not know if this works?

You mean have it on more than one computer? You cant copy paste the files from the computer, but I'm pretty sure that the cd has 5 installations (all meant to be used on YOUR OWN computers). If you are no longer using the old computer you can go to "games", then right click and select "Deauthorize this machine" to deactivate the installation on your computer.