My iphone 4 battery drains quickly and my phone gets hot
Hi I have an iphone 4, running the latest iOS. My phone gets very hot and the battery drains in an hour or 2. Apple ran a test and said faulty battery £55 please, battery been replaced and it's still doing the same.
It's problems are:
I turn the phone off, it will randomly come on.
I turn it on but it says dead, plug charger in and it comes on nearly full.
I reset it and didn't activate, just left it and it still heated up and died then when charged I turned off and it turned back on a few hours later.
It heats that much you can barely touch it.
Solutions attempted and failed:
Reset
Restore
New battery
Wiped everything and put in aeroplane mode
Reset and didn't set back up
Can anyone help me please? I've not got email set up on it, or calendar etc which have been known to cause problems.
Thanks
iPhone 4, iOS 7.0.4