Sony India — Sony xperia z1 battery and touch complaint

Address:

683572

I brought my xperia z1 from uae in1.7years before. Now my phone battery wont work properly. If battery get 100% charge, i used more than 15 or sometime it shut down and if i'm restarted, it displays 1% charge and shutdown again.
Also its touch can't work properly, keyboard presses are not correct, it automatically type another letters...
Now i'm in kochi (Kerala) i go to a sony service center (Madonna electronics, edappally), the staff says its not service here. I also asked her to "how much money need for repair this phone?" she replied me battery service cost is about 4000 rupees.
Reply me sony's original battery price and ur openion about these kind of service center...
What i do???