Finally I got the solution. Follow these steps:
- Open the registry editor. (If you don't know how, open search Cortana and type "regedit")
- Using the folders on the left hand side, navigate to the following folder: HKEY_LOCAL_MACHINE\SYSTEM\CurrentControlSet\Control\Power
- Change the value of "CsEnabled" from 1 to 0
- Reboot your Surface.
- After rebooting, not only the issue of stopping playing get resolved but also you see "Power Saver" and "High Performance" options in your power options.
OMFG IT WORKS! youre a saint!