The resistor designators you mentioned have a value of 4.7k Ohm. They're size 1206 SMD resistors, which are rated at 1/4W. To exceed their power rating and overheat, you'd need a voltage greater than sqrt(0.25 x 4700) = 34.3V. Given the fact the computer runs on 5V, it's unlikely that this is happening.
Are you sure it's not a problem with any of the latches or shift registers in that area? Battery corrosion can do some nasty things to PCB tracks and semiconductors. It's usually best to replace the devices which have been corroded and clean the PCB up properly. The corrosion extends well under the surface mount ICs and corrodes the copper vias hidden underneath, so ideally this should be cleaned properly.
I've written plenty of information on this sort of thing
here.
The circuit which operates the shift register to drive J975 is still needed, as the system polls it during power up to check if AGA mode is supported by the board. Input bits 0 and 1 are tied permanently high, so if the system cannot see U976, then you'll find only ECS screenmodes will be available.
