I got the same issues!
No help from the support team and my support ticket has been now 7 days old. I also tried all the suggested Info which you can find on their website.
“Important: “Instagram has changed its API. You need to install the latest version of our plugin and then, necessarily, you’ll have to disconnect and then reconnect your Instagram account (from the “settings” page) in order to keep your Enjoy Plugin Instagram functioning after the 1st of June “.
I did that but nothing changed!
I hope someone here will aswer soon I also got the Premium Version!