That's the dilemma I also faced
Had to start all over again.. You can try "Backup&Restore" app that comes with stock rom. But that didn't work for properly for me
Btw, can backup sms, contacts, etc and app apk's with 'SuperBackup' app. But it won't backup the app data.
Because your BL is locked, have to downgrade to get root and a recovery. If you unlock the BL now, that itself will wipe the data! No way out I think..
Can u think of an alternative?
**Edit - wiping data won't erase drm keys. Unlocking BL will erase it. Before unlocking, you have to backup TA partition to save the drm keys. For that we need root! Again back to the same place.. oh.