First of all - thanks for purchasing Vivvo after trying out the trial version, I hope you'll be happy with it
With regards to the license, if you entered new (pro) license when installing on different domain, you should be fine. But if you copied over old conf.php file, this probably messed with the license - check that and if necessary copy over the pro license in conf,php file.
You can migrate the data and templates to your new installation by following these steps.
1. Import the database (articles) to your new server. Go to Control Panel -> Maintenance -> Create backup, and then FTP that backup to the new server. It should be located on VIVVO_ROOT/backup. Then, just restore the database on new server.
2. Copy entire /files folder from old to new server. This will restore your uploaded files and images.
3. Copy /templates folder if you want to migrate templates to new version. Alternatively, you can copy only .tpl or .css files you played with, but if you aren't feeling comfortable with this and want to be on the safe side - copy everything
This should do it... Let us know if you run into any issues.