Did you migrate your installation following the official support article or the more detailed guide from the Linux tips section in the forum?
https://support.plex.tv/articles/201370363-move-an-install-to-another-system/
This should also transfer all your manual edits as well as playlists from the server‘s database.
If you created a new setup, only moving the media to the new install, the playlists won’t be there (as those reside in your server‘s database). History and ratings might have been transferred independently if you’ve enabled those to be stored on your account.