If you are implementing RPC over HTTPS in your organisation, I would recommend you to go with a 3rd party certificate as it will reduce your administrative work. A Go Daddy Cert comes at 30$/year. The amount of work reduced is worth the value.
Anyways for your answer:
- Common Name of CA: It does not matter what you keep this as. For Eg: Go Daddy, Verisign are common names of 3rd party CA's. They issue cert's for external FQDN/ host name's (mail.domain.com)
The external name will come in picture when you generate a request for a new cert from this CA.