I recently got a new iPhone 7, and when I downloaded Spotify and logged onto my premium family account, none of my playlists/albums/podcasts I liked were in my library. I was expecting to have to redownload stuff but I wasn’t expecting that. Also, while I can download podcasts I cannot download music. I also cannot listen to music off shuffle. It seems like the app just isn’t recognizing that I am on a family premium plan, but it’s weird that I can download podcasts. Any advice would be much appreciated, thanks so much!
Since Your Library was not there after logging in, you most likely logged in to a different account.
It would be worth trying to log in using different methods. It's possible to have one account connected to Facebook and other connected to email address. Try logging in with each to access your Premium.