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Try settings-apps-all-google play,force stop and clear data.Also,remove your google account in settings-accounts and add it again.After this,try again to access google play.
It might be a temporary problem with the servers,do you have a stable internet connection?
You have rooted?I am not that informed in rooted devices.i would have suggested a software repair via sony update service:
http://www.sonymobile.com/gb/tools/update-service/
Great.