My stuff just took a couple hours to all show up. I didn't change anything in the interim. Just waited, and eventually all my playlists and full library appeared. My "iCloud Music Library" checkbox was already set to on because I was an iTunes Match customer previously.Nothing migrated for me either. Beats support wrote right back and told me to log out and in again, but it didn't work. I replied back to them asking what to try next so hopefully they get it sorted out soon. Looks like it's not working for a lot of people.
Do you have iCloud sync enabled under Music Settings?
What happens when you open the Beats Music app? I still get the Beats Music is now Apple Music splash screen. Also my music isn't showing up yet.Seems to be working now. Everything from Beats is on Apple Music.