Did you get this fixed? I have a SE with the same problem. I replaced the charge port flex cable and that didn't fix the issue. I also replaced the front camera flex cable which didn't fix the problem.
Just purchase the LCD/touch screen assembly. You can transfer the home button, front camera and ear speaker over from the old screen to the new one. There are some guides here or on youtube that will show you how to fix it.
I have the exact same problem with a iphone 5S. Everything works but I have no sound during a call nor can the other person hear me. Voice memo, earspeaker, main speaker and siri all seem to work just fine. I did replace the power flex cable so, I had it all apart. I don't see any damage to the components on the logic board either. Any suggestions?
Has anyone found a solution to this? I too have replaced an ipad air LCD only to find out that it doesn't work not unless I put the old one back in. This is very frustrating. Have you found a seller that has LCD's that work other than trying to find a good used one?