I have already researched the issue, and it seems there is a history of some S3's coming out of the box with a broken camera, but it is important to note that the camera works fine as long as I revert back to the stock (and rooted) rom. When installing the Jelly 'Beans' ROM, I have selected 4 different kernel options(Beans custom stock, imoseyon lean kernel, ktoonsez, and faux kernel), thinking that may be the issue, but each one still leaves a broken camera. I have also tried installing an aftermarket camera app, in case the S3 camera apk is somehow broken, and have flashed the Photosphere Camera. Nothing will get the camera to work (and yes, my battery is fully charged).
Not being able to install a custom ROM is a pretty big deal to me, and not having a working camera is a deal breaker. Unfortunately, I won't be able to get Verizon to replace the phone again since it all works on the stock ROM. Does anyone have any ideas? I have tried several things I have read in the forums, but nothing has worked so far. Thank you all in advance for your help!