Disabled Apple ID on iPad Air

If a message says your Apple ID is locked or disabled "for security reasons", the support article If your Apple ID is locked or disabled - Apple Support directs you to reset your password as outlined in this article ➞ If you forgot your Apple ID password - Apple Support

If you use two-factor authentication and can’t sign in or reset your password, you can regain access after an account recovery waiting period, as outlined in this document: How to use account recovery when you can’t reset your Apple ID password - Apple Support

If your ID is disabled it will usually say so pretty clearly with a "disabled" message.

It is possible that if you don't use it for a while that you may get logged out. I have a few iPads I very rarely turn on and when I do I have to reactivate some services.

About the loop thing, you may need to ask Apple about that. Have you tried restarting the iPad? That can clear up mystery things sometimes.

Refer to this page for Apple Support features ➞ Contact - Official Apple Support

If the presented options do not resolve your issue, keep experimenting with any series of selections until you reach one that gets you a chat session or a telephone call and get the representative to redirect you.

This page has telephone numbers for contacting Apple for support and service ➞ Contact Apple for support and service - Apple Support