Ok, so I spent a while this morning trying out the suggestions.
I had tested the caps before touching positive and negative sides. It yields the same results as touching the positive side of the caps to ground on the heatsinks of the the 7805's.
Most of the caps are around 0.5v when doing this.
I then removed the OP-AMP at IC506 cleaned the contacts and area with electrical cleaner and a scratch brush. I then tested again with the original amp, same issue. I then took one from the other board I have here and replaced it but still the same, no sound. The voltage at the 3.8v legs is 0.544v.
I also replaced the one by the headphone jack just to see if I had any change in that location as well. Grounding the ground leg on the op amps to a different location did not change anything as well.
Anyways, I literally just started replacing chips on the board. Starting with the ones nearest the cap that popped and started leaking when I first did the recap.
After replacing the IC506 Op-Amp, then I swapped out the IC505 item. Still no luck.
I then replaced the little black chip, no idea what it is, that sits between just to the back of the PCB at C305 and C306. Low and behold, I now have a fully working PC Engine. WOOT!!
No idea what that chip is but I noticed I was getting the 3.785'ish volts from the exact same chip that is right next to the audio connector. After Kieth mentioned, showed in the pic the 3.8v to the op-amp I realized I was getting the same voltage from the corner of that black chip all the way to the op amp.
I would have replaced a lot more chips but at least I found the one I needed. Many thanks to all that helped me. I really do appreciate it.