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Hi Prao
sorry to hear that,
>are you using any third party keyboard(like swift) or is the default keyboard you are talking about ??
>from when you are facing this problem, is it after updating the software ??
Manjuboyz 
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Hi
Nice trouble shooting Prao, i believe you know much of the things, how it work, what i can suggest now is, if you are comfortable ,try to restoring the phone(you will lose everything so make sure you take backup), if there is any software issue then this should fix by doing this, else as per us nothing can be done i guess
you can carry back to sony center where they can physically handle the phone issue, i guess they might help you more to fix the problem, if incase if you find out the solution for the issue, please update it, so that it will help us to help many people like us 
Manjuboyz 
NOTE:
Rate me(Kudos) If you are happy with my Resolution, Thanks 
Here are some examples of how the issue can be visualised. The blue lines are drawn by my finger, the red circles indicate where the lines are disrupted because of the touchscreen issue, I did not raise my finger.
The drawings are created with the simple painting app Draw and Paint from play store.
Here is a video of the issue after the touchscreen has been replaced: