you don't need, but you should. The client is very old, so the client uses ACME 1. That's deprecated, support ends.
June 2021 is deadline.
There is no "move". Ignore the old installation, use your new client and create new certificates.
Check the win-simple-documentation. Certificates - no, just create a new certificate and change your webserver, so the new is used. If the old certificate is expired, you can delete it.