I think this has been resolved. Yes, it for some reason all of a sudden it was asking for my AOLMail password when I tried to get mail. When I first tried this I was entering the wrong password, hence the cycling. With the correct password, all seems back to normal now.
In one of the sub accounts, Mail with AOL wasn't working but there was no popup asking for a password. I went into Mail/Accounts and when I clicked on AOL the password popup came up. After entering the password, that account now seems back to normal.
Just curious why after years of using AOLMail with Mac Mail it decided to ask for my password. I realize that may be more of an AOLMail issue than a Mac issue, but maybe not.