I am going to try and make this straightforward.
Disconnect the power input plugs on the MPU, sound board, and display. Just have the power board connected.
Check TP5. for +12vdc or more
Is there 12vdc or more? If so go to check Check TP1
If there is less than 12vdc. Measure for 0.25VAC or less across the 11,000uF filter cap right above the regulator. If there is more than a 0.25VAC on this cap, replace it with a value 12,000 to 18,000.
If there no 12vdc on TP5 or very low. Check fuse. If the fuse is blown. Check the 4 diodes to the right of TP4. Power off and use diode test looking for one shorted in both directions. From the picture, the top right diode of the 4 looks burnt. Use 6 amp diodes here if they are shorted. If one is bad, replace all 4.
If the fuse is good, check the wiring coming from the transformer and through the input plug.
If all that looks good....
Check TP1 for +5vdc.
If +5vdc is low or missing. Check the 11,000uF filter cap as described above and replace as needed.
If the filter cap is good, TP5 is correct, and TP1 is low or missing, replace the regulator LM323K.
If you start blowing fuses or having low voltage when the sound board, mpu, display is connected then deal that later. Get your power board working first.
If you want to go the shotgun route. Just replace the diodes, filter cap, and regulator. Resolder any suspect header pins too while you have the board out..