Thank you MarkJFine.
We are using the correct usernames and passwords.
In fact, this problem has been solved. We contacted tech support at Hughes. They were able to fix the password on the messed-up email.
The tech person had it solved in no more than 10 minutes. It was nothing we did. She couldn't explain exactly what happened. Thanks to Hughes Tech support.
Ironically, Hughes support sent an email to the non-accessible email address, telling us to contact tech support for a fix. We never saw their email until
we called and they fixed it. Oh well. We are happy right now.