I recently ran into an issue where my Windows Deployment Services server stopped working after changing the name of the server. After looking around, I didn't really find a good answer for what settings need to be updated if you change the name of your WDS server.
Answering this below per the comment.
I found all the different places that it needs to be updated but wanted to document them here incase anybody else ever runs into a similar issue.
After this, update the package, redeploy a new image to it, and everything should be up and running!