The voltage between H1 and H2 should be about 6 volts (one probe on H1, the other on H2).
With your black meter probe at ground, there is a voltage reference that elevates the 6V rail.
The last picture on page 31 shows how this works. There are two resistors and the Z5U bypass cap, then a wire leaving the resistor junction and going to tube socket pin 9 on the left socket. That is what you'll want to look at. If the red wire going to A9 (I think that's the A socket) is grounded, you'd have issues with your "H" voltages.
As far as the rest of your issues, you have high voltage at your power supply, do you have it present at R7?
If you don't have an 0D3 plugged in, it won't get any further than this.
-PB