Hi!
Thank you very much for your kind words!
It was a known issue within the previous release. If you update to the latest one (4.14.6), and clear your browser cache, it should start working again. I couldn’t check your plugin version, as the site was password protected.
The license activation only affects the atuomatic updater, it does not affect nor limit the plugin functionality in any way. License-wise, test/staging/live servers for the same site are considered as ‘one’ end product, so you can have them installed with one on all three of them. The auto-updater should even recognize the ‘test.yoursite.com’ and ‘staging.yourseite.com’ and ‘yoursite.com’ type domains, so you can have the auto updater activated on all three. Otherwise, I usually recommend having the auto updater active on the live or staging site only. If you deploy from staging/test to live regularly, then activate it there, since the live is redundant.
I hope this helps!