Files from iTunes should appear as MP3 files in your phone, so backing those up is just the same as backing up any other file: Copy to SD card, cloud storage, or computer via USB/WiFi/BT. If they were uploaded to Google Play Music, then your files are already backed up to Google's servers.
As for Google Play Music's files, they're already backed up in Google's servers, but should you want to download a physical copy, you can do so from Play Music's website or by downloading their desktop client.
https://support.google.com/googleplay/answer/1250232?hl=en