I appreciate the steps you've done and for adding some screenshots, @jacquie214.
The Payroll Subscription Alert should not show downloading the latest payroll update. Since the notification continues to pop up, I recommend contacting our Payroll Support team so they can take a look at your account and help identify what's causing this unexpected behavior.
Here's how to reach them:
1. Open QuickBooks and click the Help menu at the top.
2. Select QuickBooks Desktop Help.
3. Hit the Contact us icon on the pop-up window.
To know more about the Payroll alerts in QuickBooks, consider checking out this article: Update or renew your subscription.
Keep me posted on how the call goes or should you need anything else. I want to make sure everything is taken care of for you.