I don’t think it would be related to the broken plated hole on JA.
Many of the joints look like they aren’t formed properly, e.g. R15, IC3 pins 16, 15, 11 etc. amongst others. If you have a ball like that, it can be that there is insufficient contact to the pad below. In this case, retouch and if necessary add a bit of flux to get things to flow properly and make “volcano-like” joints. You might need to increase the soldering iron temperature.
If it is four switches not working and the switches in same columns do work, it points to the sink driver. That is:
T3
D12
R20
R3
IC2, pin 5
Looking at the pictures, it seems as if those joints on those could be touched up better.