That account isn't suspended; it appears that you've restored a backup to the account however. That backup looks to have been made when its host account -was- suspended, which is why it's thinking it is now - remove the current .htaccess file (either through cPanel file manager or FTP), and look for one that starts with .htaccess.suspend. Rename that one back to .htaccess, and the website should be functional.
I would recommend making this change to your local backup as well, as the same issue would happen if you restore it to another host in its current state.