Dear Jim Bolinski (jim),
Good day! Thank you for posting to Microsoft Community. We are happy to help you!
In general, the internal/external subject of a message is defined by the source of the email, so I'd like to gather the following information from you to narrow down the issue:
Are you sure that the messages you receive with external subjects are from internal users?
All the messages you receive come with an external subject?
If you are using the Outlook Desktop Client, try logging in to the OWA (Outlook web app) with your account and ask another user to send a test email, then check OWA to see if you get the same error as on the Outlook Desktop Client.
Are all users inside your organization experiencing this issue?
If you find some error messages or error codes, please share the screenshot with me so that I can do more research, thank you.
Thanks in advance for your understanding! Your patience and cooperation will be highly appreciated. Hope you all the best!
Sincerely,
Kerry Chen | Microsoft Community Moderator