I have a vintage SD Invader humbucker (BJ), wound by Maricela Juarez. I measured with ohmmeter, when I touched the black wire and the red-white cable it gives me 8.56 k ohm, when I touched the black and the green-bare cable, then there is no signal.
I think one coil is not working...can I repair this somehow, or some expert?
Although, the design of the NECK Invader (a cap across one coil) makes it so a coil might not have a reading. Wire it to a jack and touch the poles of each coil. Are they the same volume? You pickup might be fine. 
The red and white wires are connected together right?  Make sure that they are making good contact with each other.  If not then the signal between black and green will be broken.