For the com.google.android.music process to have stopped, there may be an Android OS system problem on your phone.
If so, then it could be owing to the Stagefright exploit. Here's some info about that possibility:
If the Android OS version on the device is not sufficiently updated, then it may contain a significant 'security hole' that allows almost anyone to gain access and control over your phone.
To test as to that security hole, download and use this app:
to tell whether there is such a security hole in your phone's Android operating system.
To avoid the problem in the first place, not just using the Stagefright detector, but also completely updating your Android OS ab initio when you first start using it, is a good idea.
(Some older versions of Android OS cannot be patched, by merely updating that version... but a higher version, if it can run on the older Android OS -compatible phone, can cure that problem.)