Make a backup. Restore as new. Test the issue again. Here's a way to test your battery 'issue' without any bias:
• First, charge up the device to 100%. To enable the percentage indicator, go to Settings > General > Usage, and turn on Battery Percentage.
• Once the device is charged to 100%, make sure to close out all Apps that are running on the device. In iOS 7/8, you close out running apps by double-tapping the Home Button, and then swiping your finger up across the preview screen of each app to move it off the top of the screen.
• Then, turn off Wi-Fi, Bluetooth and cellular data. Settings > Wi-Fi > Wi-Fi: OFF, Settings > Bluetooth > Bluetooth: OFF, & Settings > Cellular > Cellular Data: OFF. This will not prevent you from receiving any phone calls.
• Go back to the Home Screen, and take a screenshot. Press both the Sleep/Wake button and the Home button together briefly, and you will see the screen flash white for a split-second, and an image will be saved to your Photo App Camera Roll.
• Disconnect the iPhone from the charger, and lock the screen so it is dark.
• Let the iPhone sit in this ‘standby state’ for as long as possible, preferably overnight.
• In the morning, unlock the screen, and then take a screenshot of the Home Screen again.
These two screenshots will help to document how long the device was in standby mode, and how much battery percentage was used.