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Hi Khun_pondz,
Welcome to the community,
You could always call Customer Care, they may be able to supply a service agents phone number who could supply a rouge quote price. Use my signature below to find the contact details.
You'll need to contact your local Sony support for that, so you make sure your phone will stay waterproof after installing the new backside:
/t5/FAQ/How-to-get-your-Sony-Xperia-product-repaired/m-p/991374#U991374