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It'll be easier for you to use the search bar (top right corner) you will find answers to those questions
you can test your phone with this app
https://play.google.com/store/apps/details?id=com.sonymobile.androidapp.functiontester
Do you have a protective case or protective film that might be near and/or covering the proximity sensor?
as for the facebook app, that's up to facebook not Sony and/or the voice/sound recorder app developer team.
if you are using NFC, Bluetooth, GPS and perhaps even data on, it is normal that your battery wont last that long.
Your English is just fine, but you can use
translate.google.com
if you aren't sure
You should post the screenshots, again, keep in mind that if you are syncing emails, whatsapp, facebook, G+ and other apps, your battery will drain really fast
This might or might not help you
http://talk.sonymobile.com/t5/FAQ/Battery-time-and-enhancement-features/m-p/347874#U347874
Just re-install the latest update, it does smooth things out
And you have tested the proximity sensor?