Nope. Re-launching the game in the web player should remove the "LITE" version banner since it will check to see if your upgrade process finished. If it doesn't, go back to the upgrade page, hit the Upgrade button (where it takes you to the PayPal page) and you should see the note about your account already have been upgraded.
Going back to the game at this point should show you having full access.
P.S. Make sure to force-refresh the web page. You seem to be using an older version. With Chrome that would be CTRL+F5.