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Check if the same occurs in safe mode:
http://talk.sonymobile.com/t5/FAQ/How-to-boot-your-phone-into-safe-mode/m-p/348008
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I suggest that you try to repair the phone software using PC Companion..
Before repairing your device you may want to backup your information first. Check out this topic for more information on how to.
How to backup?
If the issue should still remain I think that this needs to be examined and fixed at a repair center. For more information about how to submit your phone for repair and where, contact your local support team.
Have you checked what the Sleep settings are: Main Menu > Settings > Display > Sleep?
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com.sonyericsson.startupflagservices
root your phone (you will lose waranty, read about rooting)
uninstall com.sonyericsson.startupflagservices