It's really difficult to replace a new LCD screen after witnessing a Sony Xperia Z1 teardown by myself. Replacing a LCD screen also need to open the whole phone from the back galss like the tear down video do.So if it's expensive, it's normal. I found a LCD screen here about $108. If repairing your screen cost much more, it must be for operation and other adhesive stickers. Also your phone should be more careful to the water, because your phone has been opened clean, you should pay more attention to it's waterproof. Good luck to you and your Z1.
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