It's somewhat likely that you should plan on tossing those 431s. In my experience when they get damaged, they will tend to semi-short out internally and can show that random 1.8V voltage across the device. If those have been heated up a bunch, that could be the problem that's at work here.
When dealing with replacing those, a spring loaded solder sucker is pretty useful for removing the solder on the board. Solder braid is also adequate for this work.
-PB