It's quite normal nothing changes if you reinstall PHNL, since the problem is not caused by it...
Whenever you see double airport signs, markers, etc, it's *always* a problem of another AFCAD from another product/scenery in conflict, so you have to find it and remove it. The most likely source for this would be an AI Traffic packages that comes with its own AFCAD.
Use the free ScanAFD program to find AFCAD duplicates for PHNL, and remove them.