Playlists auto sync if they are imported as read only, else you can press the sync button to choose the sync direction [Wiki] Import / Sync media providers playlists (But of course if you remove the workaround it will probably fail again)
For the main page you are not clear enough. You can set the playlist page to be the main page, you can add a button to go to playlist in the main page, if you want a row with playlist like the other rows then it’s only possible in the next release (will have a row to show the favorites playlists)