OK,
So, I see from your oscilloscope traces that we have SYNC activity on the CPU (indicating that the CPU is actually executing something), that you have VDRIVE and HDRIVE (at the correct frequencies) on J7 - but no VIDEO signal. I think this was where we were at last time.
One thing I did notice is that you stated you have measured the +5V rail on the DRAM. However, this PET (803208 - Universal) has two (2) +5V rails. By measuring the +5V rail on the DRAM, you are reading one of the +5V rails - but missing the other. Since we have no idea which +5V regulator feeds which ICs, it is usually better to measure both +5V rails from each regulator. However, since we are seeing signs of life, I don't think the other regulator is causing us problems...
The next thing is to use your oscilloscope and look at all of the pins of IC UE12 (74154). This decodes the CPU address signals into blocks of 4K, with each block generally decoding for a specific sub-system within the PET.
Check each pin and post a list of whether the pin is HIGH, LOW or PULSING. I don't need a load of photographs - unless some of the displays do not look like nice TTL signals.
We know the CPU is executing instructions (from the activity on the SYNC pin). This test will give us a rough idea of what the CPU is accessing (e.g. which ROM(s), the video screen etc.).
Incidentally, the CPU SYNC signal will not be a regular 'clock-like' signal. This signal pulses HIGH each time the CPU fetches/executes an instruction. As each instruction takes a different amount of time to execute, the pulses will not be regular. If they were, I would 'smell a rat'! In this case, your PET Moggy would have already pointed it out

!
Dave