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the tre keys in the buttom of buttons not working
I'm sorry to hear that, could you test your device with
settings > about phone > diagnostics > test > test touchscreen
also you could repair the phone with PCC to narrow down the issue.
Bridge (for Mac)
Alternatives on How to backup Xperias
If you don't have the diagnostics app preinstalled
https://play.google.com/store/apps/details?id=com.sonymobile.androidapp.functiontester&hl=en