Ok, let's start with the easy ones.
Tube Pins A1 and A7 should be soldered together, therefore the voltage is the same. 1.4V is good, negative means you should put that battery in backward. See the first sticky in the Quickie folder.
Tube Pins B1 and B7 should be soldered together, therefore the voltage is almost the same. 1.4V is good, negative means you should put that battery in backward. See the first sticky in the Quickie folder.
I am pretty sure where things went wrong was including the PJCCS in your initial build. It is not advisable. The tube wiring seems off. Everything else I have looked at in the pictures looks right, as best I can see. But the tube sockets are the problem.
Looking at the picture I seen no wires feeding tube pins A4/6 and B4/6. This should have something from the PJCCS feeding to it. This is where the higher voltage enters the tube. You have very low voltage there meaning the PJCCS board is not feeding the voltage to the tubes. Take out the circuit board and put a 4k resistor between A6 and the center lug of the power switch. Do the same for B6 to the same terminal of the power switch. Look at page 25 and 26 of the manual to see how it should be arranged. BE quite sure that there is a wire between A6 and A4 as well as between B6 and B4.
BTW, I have never seen a multimeter that didn't have resistance on it. There may be but I haven't seen one. The Greek letter Omega (looks like an upside down horse shoe) stands for Ohms. It may not say resistance.
I don't have the instructions so I don't know everywhere it is wired to. After extracting the PJCCS, go back through the manual and verify that you have all the connections called for. Then do the resistance checks. Post only those that are out of spec by 15%.
This will get you started.