Yup, this helps.
When you took the old database and dropped it onto the new site, ALL data from the old site is now available on the new site, and the data from the new site is gone. So, now your new site has data from the OLD plugin instead of the new one. The Configuration page shows the old plugin options and you're missing the new ones.

So, first of all, rename YOURADMIN/includes/init_includes/init_zx_slideshow_install.php to init_zx_slideshow_install.php_x
Then, go to admin->Tools->Install SQL Patches and copy/paste the uninstall sql for the old plugin so it's completely removed.
Now rename the file back to its original name (init_zx_slideshow_install.php) and refresh the admin.

This should now run the installer for v3 and you should get the new configuration options:
Click image for larger version.  Name: zx_slideshow_v3-config.jpg  Views: 18  Size: 17.9 KB  ID: 20894