I can say one thing and that is you do not want to delete your account. That could be referring to your entire user account on your computer an everything you have done in it!
If you changed your Apple Account password on your phone it should have been transmitted to the computer. Have you restarted the computer to give it a chance to refresh settings? You don't accidentally have the caps-lock activated or something?
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