Iphone Issues need help

My iPhone 5 64gb is heating when I'm using it,the camera has purple haze when i click pictures not in every picture but a few and it lags the pictures are supposed to be clicked in an instant..no burst shot..and the battery lasts just 5 hours.. I'm not sure i have restored the phone couple of times tried notification, location and I have put off almost everything .. Except edge when I'm out .. I can barely ise 3g ..When I play games it dies in 2 hours? I'm just wondering .. Is hardware issue? Or software bug or was it deliberately designed like this .. Please Apple.. Help me resolve my issues .. I love my device a lot :( it's just 2 month old ..