Hi Eugene,
We tested the activation, it works properly on our test servers.
For some reason, your site is unable to connect to webshoplogic.com and unable to access license activation.
The problem with the internet connection or the firewall settings on your server may be causing this, please check them.
It may even be due to the security settings or versions on your server, e.g. due to the SSL or curl version, please update them, or ask your hosting provider to update them.
I hope this solves the problem.
Peter Rath
WebshopLogic