Worked like a champ! One thing I noticed while I had this apart: The plastic spacer between the display PCB and the big PCB is the cause of this problem. The plastic touches the metal pin that needs to be re-soldered. This touching helps to break the pin away from the PCB, causing the problem here. I cut away some of the plastic so that it won't touch the metal any more, and I'm hoping that it prevents this problem from recurring.