Share your experience!
Double tap sleep is working but wake up is not working
Notification bar is not coming dowm.
Just to make sure, could you also perform the display test in the service menu? To reach it, open the phone pad and enter *#*#7378423#*#* > Service tests > Touch, can you clear the area the notification bar is located at here completely?
That would explain why you are experiencing the behaviour with the notification bar. 
Could you try performing a software repair using Xperia Companion and see if that helps? Let me know how it went!
If you have a protective cover over the screen especially a glass one take it off & test again