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Have you checked that NFC is activated via Settings > More... > NFC? If yes, have you tried to use the NFC function with different units? Otherwise, I suggest that you perform a software repair on your phone via PC Companion:
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.
The software process does require an ADSL connection, however it does not have to be super fast to achieve this task.