According to your information above, your organization failed receiving messages after renewing certificate. Did you get any error information when access outlook or OWA or ECP after that?
Could you please provide the complete message tracking log you received for troubleshooting?(note to erase personal information)
We could firstly use the ExRCA Tool to help us check the Inbound SMTP Email for our organization
In addition, please also check the configuration of the certificates with command below (note to erase personal information):
Get-ExchangeCertificate -Thumbprint XXXXXXXX | Format-List
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