Updated just recently to latest 8.4.
Selected Music. Mine was stuck on the Apple Music screen and would not do ANYTHING. I restarted my iPod Touch. Now it functions.
At the top of the listing, below RECENTLY ADDED, in red, is the word that indicates how the music is arranged.
Touched that word, I was presented with all the various ways to choose what I would hear - artist, album, song, genre, composer, compilations.
Selected the one I wanted, Artists.
Selected ABBA.
All of the ABBA music would not play, only one song would play. Not shuffling.
++++ Idea: Maybe I need a Playlist for that artist ++++
Selected Playlist and then New.
Typed ABBA.
Added songs the new playlist.
It appears that shuffle is automatically selected for a playlist.