My phone dies in an hour in use and five hours without being used after a full charge. What can I do to fix this problem ?

When I plug in my headphones to listen to music, all I hear is static noise. I have tried adjusting the volume settings...

Make sure your phone isn't frozen, give it a couple minutes to see if it unfreezes. If the phone phone still doesn't not turn off your power button may be dirty/sticky. You need to clean the button. Refer to the Nokia Lumia 520 Troubleshooting to fix the problem.