@ Steve
You can manage the site activations your purchase history under the Licenses tab by clicking the Manage Sites link for the item you wish to manage.
I see Slim Plus and ROT13 are activated for you site, so, in theory, you should be fine and receive updates when they are released as long as you keep your support license keys active.
Really, the only thing that should have changed is now you are seeing a status message that was not available before. The status check always occurred silently in the background and were likely failing all along.
That said, If I can get access to the site again, I like to test the update functionality to see if that still works. It should since it is using the core WP update functionality. The only change is where the update package is being downloaded from. I just like to be 100% certain.