P0134, P0136, P0138 - check engine lights up

H1 is an earth and there is no mention of G1 so that may not be used?

So I checked the image you gave and it is different than the code you gave

Image shows VF7FCKFVC26887255 so I will check that for you.

Hahahha I should get glasses.

DEPOLLUTION MOTEUR IFL5 EURO 4 (INCITATION FISCALE)
"PULSAIR" AIR INJECTION <<--- the bit giving you trouble
INJECTION ECU: SAGEM

So, as expected. Let me spent some time this weekend again with the car.

So, I've spent some time again with the car. Removed the pins in the 1st and 2nd cavities. I was expecting rough burn traces and oxydation, but there was nothing particular. Anyway I've cleaned bot pins and reassemble the connector to ECU. I've checked the codes again. All O2 related faults appear again, but this time there was a fault related to the Air injection pump (which is removed previously). I've cleared them and all of them went away. But my feeling is that the problem will be back again.

It was windy outside and the bonnet felt down when I was handling the ECU connectors and hit my head


That's why, it's time to give up and take the car to garage, with hope that they will make it to work

Here are some photos of my work, that could help somebody.