HELP live far off apple store could send it to store iPhone 5

My iphone 5 which i got december is freezing, randomly turn off, drop calls, sometimes buttons not responding, and rattel sound when i shake it (have not droped or been banly treated). I have updated the ios many times and resore aswell (im now runing version 6.1.3) and the problem is still there. I would take it to a apple store but I live far off any, I was wondering if i could send it to a store to get checked and fixed?

All response will be greatly appreciated