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Go to settings-language and input-xperia keyboard-tap on settings-personalization guide.
same here, it's a mistake from the hardware, I just had send it back and got only new software, the same thing started from new. -.-
when you say auto typing do you mean typing without you touching it ?if that's the case restart the device by holding the power button and volume up button together , wait till it vibrates 3 times rapidly then wipe the screen off smudges then restart the device and see if it still occurs