Can anyone suggest how I can make these e-mails actually arrive and/or find out what is happening to them?

Contact the administrator

When a SMPT server tells you, you've authenticated, your mail has been sent ... your only choice is to believe it

In reply to Re^7: e-mail fails with address that is not a fully qualified domain by Anonymous Monk
in thread e-mail fails with address that is not a fully qualified domain by merrymonk

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