Are these notices about your subscription expiring? That has nothing to do with Auto Renew. They are just reminders that your current subscription is about to expire. They will continue until you renew. Or if you do not renew, they will change to a message that your subscription has expired. Those you will receive for about 3 to 4 weeks after expiration before they stop.
As you have turned off Auto Renewal, if you are going to purchase a new product key, you will still get these Norton emails because your old subscription will in fact have expired. What you can do to avoid that is contact Norton Support when you have the new product key, and ask them to add the time from the new key to your old subscription. www.norton.com/contactcs
So my subscription was renewed for $109. I have not renewed for years--I just buy a new license from Amazon. I was told that I was notified that the renewal was going to be processed but never saw such email. I did get the renewal reversed and the amount refunded. I asked to have auto renewal turned off. Then I uninstalled Norton on all the machines. I have been annoyed to have so many pop up offers for more products along with constant nagging about not using features I do not want to use.
When you turn off auto-renewal, please remove the credit card information. If you do that, then they can not bill you.
Have a Good Night and