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Try performing a system repair as this will often fix issues - This will factory reset your phone
Also do you have a screen protector on which has finger prints on and try holding volume up and power to switch off your device and then restart it and see if that helps however to perform a system repair
Switch off your phone and unplug from Pc (Hold volume up and power for around 10 seconds)
Start PC Companion and select Support zone then Update my phone/tablet then in Blue Repair my phone/tablet and follow the onscreen instructions - When prompted connect your phone still switched off holding volume down or back button - This should start the repair or reformat process
If you are using Windows 8/8.1 or a 64bit operating system then adjust the settings for PC Companion and run in compatibility mode and chose Windows 7 or XP
Then all I can suggest or advise is that you either return your device to the place of purchase or contact Xperia care http://www.sonymobile.com/gb/support/contact-us/