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If you have tried the things that you mention, I suggest that you perform a software repair on your phone via PC Companion to exclude software related problems:
http://www.sonymobile.com/global-en/tools/pc-companion/
In PC Companion you press start on Support Zone > Start on Update the phone/tablet software > Repair phone/tablet (the blue clickable link in the message) > Follow these steps without having your device connected to the PC.
Follow the instruction that appears in the program and do not connect your device until this guide tells you how to connect it.
