You would have to remove the "home" ("structure") from your previous Google account (gmail account), but I think you're first supposed to remove all the devices from the "home":
Is it possible for you to add your Nest Aware subscription to your previous Google account instead?
Perhaps you should contact Google Nest Support; I can't tell exactly what you're doing, why you want to associate your Nest Aware subscription to a different account, or why you deleted the "home" before deleting the devices. And I don't know if you can add a Nest Aware subscription to an empty "home".
Thanks for giving us an update on this. I appreciate your efforts. Let's check this out — what's the error message you received when signing up for your Nest Aware subscription?
Going over the steps here might help:
Let me know how it goes.