Your description is consistent with a failed HD. However before taking it to your local Apple Authorized Service Provider for service, try the following resets:
How to reset NVRAM on your Mac
Use safe mode to isolate issues with your Mac - Apple Support
Restart in Recovery Mode (Command + R after hearing the startup tone) open Disk Utility and run First Aid 2-3 times. If errors appear that confirms my hunch. However if no errors appear that does not mean the HD is okay, it simply means FA failed to find the errors.
Good luck.