Does your EQ board look like this (well, hopefully less blurry)?
If you've identified the problem as a break in the connector in the green circle, then you've probably found the problem, but it won't be quite as easy to fix as you hoped.
This is a 2-pin Molex connector. The two leads coming into the connector are the signal and ground lines from each coil. As is evident on mine and probably similar on yours, one of the leads is a regular wire, the other is the braided shield from the pickup.
The way that a Molex connector works is that a small j-shaped metal lug is crimped onto the end of each wire with a special tool. Then, the lug is pushed into the brown connector body. The tail of the J is actually a latch that grabs onto a ledge inside the brown connector and probably isn't going to let go without a pretty good fight. If you have a very fine pointed probe (like a dental probe), you can push in the open hole on the side of the connector and you might be able to dislodge the latch and push the wire out. But often when you try to do this, you'll actually bend the lug and then you'll find that you can't get it back into the connector after you've reattached the wire, or the connector won't make solid contact with the square peg that it pushes on to anymore.
You have two alternatives. The easy fix is to cut the Molex connector off and solder the two contacts directly to the molex pins. You'll need to shrink wrap the connections if you do this. You won't be able to unplug the board without cutting or desoldering, but you probably weren't going to do that anyway.
The harder fix would probably be to cut the Molex connector off, remove the pickup entirely from the bass (I doubt that the Molex will fit though the wire route in the body), and send it back to Alembic. They can put two new lugs on leads and send you a new Molex body. You then feed the leads and lugs back through the body, insert them into the connector body until they latch (doens't require tools, but you do have to position them correctly before you push them in) and plug the new connector into the EQ board. You could probably try to install the lugs yourself, but the problem is that the lug is shaped to hold the wire, latch into the body, and provide spring pressure against the post. If you deform the lug at all, it probably won't work reliably.
The leads don't attach by being stuck into the connector.
Hope this helps,
David Fung