Hi,
Regarding current situation, please first try to restore the system back to the latest point when the system work fine.
If the issue still persists, please run the App troubleshooter to see if there is any error report:
App troubleshooter:
http://go.microsoft.com/fwlink/p/?LinkId=268423
Also, check this fix:
Fix Store App in Windows 8.1
http://blogs.msdn.com/b/notime/archive/2013/10/18/fix-store-app-in-windows-8-1.aspx
If the issue still persists, please help to export the event log and upload here via Skydrive or similar hard driver, share the link here:
Search event viewer -> click Settings and open Event viewer/ View event logs -> Under Applications and Services Logs>Microsoft>Windows>Apps
Also save the administrative log: