Hello,
Sorry to hear you are having issues. If you goes here: https://store.stardock.com/myaccount/products. Log in with your email. You will see something like below. It should show the list off application under Object Desktop and its download link. If it does not show it, perhaps you have purchased under different email account.
On the right you should something like my screenshot below. There is your activation key and activation list button. (red arrow).
Thank you,
Basj,
Stardock Community Assistant.
