What happened to the star ratings in the Music app in iOS 9.3?
So I accidentally figured this issue out. Where before you could click on  the name of a track to view/edit the star rating, now the UX for that is to click on the album artwork. The artwork blurs and the star ratings show up dead center in that area; see picture below.

Still doesn’t explain the weird UX of tapping the current track name bringing you to the same current track name again and again. But at least star ratings are still a part of the Music app in iOS 9.3!