> the 2019 server having a different host name assigned shouldn't be an issue, correct?
Unfortunately it's not correct at all.
Moving a Certification Authority to a new server with the same name is a quite straightforward process, but it gets a lot more difficult if the new server has a different name.
Also, hosting a Certification Authority on a Domain Controller is definitely not recommended, last but not least because you can't promote, demote or rename a server which is hosting a CA; you really should take this opportunity to separate the two roles on two different servers.
How to do this the proper way:
- Install a new server with a new name and join it to the domain.
- Promote the new server to Domain Controller; make sure to install DNS and to make it a Global Catalog.
- Perform a CA backup of your Certification Authority, including the root certificate.
- Remove AD CS from the old server.
- Move all FSMO roles to the new server.
- Configure both servers and all domain member computers to use the new server as their primary DNS (or swap the two servers' IP addresses).
- Demote the old server.
- Remove the old server form the domain (or, if you need to keep it around for a while, rename it in order to free up its name).
- Install an additional new server with the same name as the old one; join it to the domain.
- Install AD CS on the new server using the existing root certificate and the same CA settings.
- Restore the CA backup on the new server.
Of course, there are several additional details; but this is the full outline of the process.
Oh, and don't forget to add another Domain Controller. You really should not have only one of them.
Re-reading your question, it's not really clear how many Domain Controllers you have; if you already have more than one of them, this will make things a bit easier. But you'll still have to recycle the server name, and you can't demote or rename a server as long as it's hosting a CA; thus:
- Perform CA backup
- Remove AD CS
- Demote server
- Remove (or rename) server
- Add new server with same name
- Install AD CS
- Restore CA backup