This issue seems the be caused by your server itself as it may be blocking the connections. Also I see where your server is not able to connect to the wordpress.org server and this could also be the cause of the issue.
OK, I just installed duplicator for you. Let me know how it comes out. This is Wil by the way, I'm one of Nathan's partners. We have yet a third guy running the server.
I'm still investigating the issue however this should not cause any down time on the site as it seems their is something blocking the site from accessing our API.
You can still download the plugin update directly from our website.
Can you check if you're not missing a configuration file from Toolset Types?
Go to the at the `wp-content/plugins/types` folder and look for `library/otgs/installer/repositories.xml`
Even though i couldn't find the directory you pointed to me, our server admin made some changes and this is now working. So unless that directory issue points to another problem, you can close this case.
