I got only about six hours of sleep, if that. As soon as I was coherent at eight in the morning, I called Apple Care. I told the gal what had happened and she was as confused as I. After some time, we were able to restore the phone from the Cloud with the new Apple ID and password we'd created at the store, so the phone was exactly as I had it before restoring from the old phone backup. So, that was good. Then she got me to a senior advisor and finally we have changed all the Cloud stuff to the new Apple ID and password on every device - iMac, iPhone and iPad. Now everything should work and the only different password will be for iTunes, which I'm keeping the way it was since it has all my purchases on it, not that I have ever purchased much at all.