Can I edit my Music playlist on iTunes? I have an iPhone 5s running iOS 10.0.2.  My iTunes version is 12.5.3.17.  I have synced them together but I cannot see my Music playlist in iTunes.
First, you want to check and see if you are syncing playlists through iTunes.  You can verify that here:



If you have that, your playlists may be in iTunes Cloud library, which you have to enable here: