Assuming that the Windows 2012 server is using the same version of Service Desk as the old install, all you should need to do is run a pdm_configure, and reference the correct database server.
It looks like you may be using an older version, but if you happen to be using 12.9 or newer, double check the usp_servers table in the database as well, you may want to manually update the database to reference the new hostname in the "local_host" field (case sensitive).