Can you maybe give me the IP's that maybe blacklistet ? When plugins like toolset and wpml stuff is connecting, there must be some Domain or IP right? Can you give me those, so I can ask so hoster to whitelist them?
We can ignore the Toolset Types notification for now (the one at the top).
There's a big chance that what you are seeing is a false-positive that remained in the server caching and the notification will be removed automatically when the cache will automatically clear on its own.
To check if that's a false positive, go to Plugins > Add new > Commercial > click the "check for updates" button and if the page refreshes and WPML is still showing as registered, then yes, that is just a false positive.