Hi @Catherine Jaszewski ,
We could know the role fo the SMTP service in certificate in the Micorsoft’s official atrilce. So SMTP service is necessary. It will encrypt the mail flow between Exchange and other servers and clients.
TLS encryption for external SMTP client and server connections.
Mutual TLS authentication between Exchange and other messaging servers.
When you assign a certificate to SMTP, you're prompted to replace the default Exchange self-signed certificate that's used to encrypt SMTP communication between internal Exchange servers. Typically, you don't need to replace the default SMTP certificate.
1.Please try to following the steps to assign a certificate to Exchange servercs, then please run the “IISReset” in the CMD started as administrator to reset the IIS. And please make sure that the certificate contain correct host names. It must contain at least mail.contoso.com and autodiscover.contoso.com.
Open EAC -> Servers –> Certificates -> Select the certificate -> Edit ->Services -> Specify the services you want to assign this certificate to
For more information please refer to: Assign certificates to Exchange Server services and Digital certificates and encryption in Exchange Server
2.About send connector, please make sure you configure address spaces, scope and source servers correctly. Please refer to: Send connectors
If the response is helpful, please click "Accept Answer" and upvote it.
Note: Please follow the steps in our documentation to enable e-mail notifications if you want to receive the related email notification for this thread.