iPhone 5 randomly plays music in my earpiece

I have an iPhone 5 with IOS 6.1.2. I also have a Droid Razr. Both are paired to a Motorola Flip earpiece.

Ever since updating to 6.1.2 I have had this problem.

If I answer a call on my Droid, as soon as I hang up, the iPhone starts streaming music to the earpiece!

To stop it, I have to turn off the earpiece, or I have to open "Music" on my iPhone and stop it.

The iPhone is a business line, and I never use it to listen to music, as I have all I want on my Droid.

I have tried to DELETE the Music app, but I can't figure out how to do it.

Would appreciate any suggestions!

thanks

John