Ok, finally I found the problem (s)

I decided to push softly flom left to right, up and down T2 and saw that the VAC measurements on the output began to change rapidly and going to 0VAC again after releasing it.
The pins of PCB4 which "holds" the T2 need to be pressed and sodered very well from the BOTH sides of the border to make full contact. The weight of TR2 "pulls" down the transformer and if the unit is placed horizontally and meanwhile the weight make some pins to lose contact from time to time, then strange things are happening.

After two EQP501 and two EQ573, these are the first units that I assemble that have such kind of PCB to PCB mounting and I consider it to myself as a week point of the design, but anyway.
I resoldered the pins very well, while pressing the two boards one to another. Meanwhile I found that while checking the PCB1 components with continuity test sometimes the connections between pins 2,5 of the T2 and negative pin on C8 and C9 and between C11 and pin 7 of J2A didn't ring although that visually and on previous checks were fine. Resoldered them and now both units passed point6 of the setup :)

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Now I am stucked in point 13 on the setup on the treshold setting. After applying 6.15VAC on the input, I got about 4.5VAC on the output and the TR3 does not make any difference. I am going to check the connections between TR3 and the other parts that are connected to it, hopefully find the fault...
Anyway I feel positive now that I went 8 positions of the setup ahead.

Cheers!