Hello there Quantum4947,
I understand you're looking for help with playing a playlist using Alexa, so let's see what's going on.
With using Alexa, if you ask to play the "My Music Playlist" instead of "My Music," does this then play the correct playlist or does it continue to play something random? Also, if you ask Alexa to play a specific song from the Apple Music catalog, does this play correctly or is Apple Music not working correctly?
If you see that Apple Music is set up and working correctly, you would want to reach out to Amazon for assistance with the device that you're using. To be sure that you have set up Apple Music to work with your device, check out the following resource:
Play Apple Music with Alexa
If you confirm that this is set up correctly, contact Amazon for Alexa Features Help.
Have a great day!