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Water had entered my screen. Is repairing the screen enough to fix my phone, or should I just get a new phone? Pixels have been lost.

watermizu13 if water entered your display then stands to reason there is water in your phone. Just like any other device start off by turning it off. Do not try to turn it on, to charge or to sync is. This could potentially make a bad situation worse since it could shorten more components on the logic board out. Disassemble your phone by using this guide. Clean your phone with 90%+ (or better) isopropyl alcohol. Use this guide to clean your phone. It was written for an iPhone 3G but all the steps are pertinent to your phone as well. Inspect your board for any missing or damaged components. Remove all the EMI shields to clean the board. Once properly cleaned, replace the battery then reassemble and re-evaluate. Water damage is the hardest to diagnose and to repair since almost any part can have failed. In your case you do want to go ahead and replace the display assembly after you clean your phone properly. iPhone 5c LCD and Digitizer Replacement