I'm trying my hand at repairing old joysticks. I have this Dualshock Analog Controller (SCPH-1200 M) which came with my old PSX and it didn't work properly anymore. So I've decided to open it so I could repair it or at least learn something new in the process. I've examined the connections from the PSX to the joystick and they've all seemed fine, correct voltage and no short-circuits. When I plugged it I've found that it seems as there were some problems with the wires because if I held the josytick in some way, it would turn off. So I've concluded that the problem must be in a strangled section of the wire, so I've cut that section to later rejoin the cables. However it appears as I cut the wires coming from the circuit board too short and I cannot make a connection with the other side.
So my next idea was to remove those wires still attached to the circuit board and insert the other side directly into the holes of the white socket (I don't know its name). But I cannot seem to get the wires out - I've tried pulling them but they won't budge and I don't want to break any more stuff.
Do you know how can I remove these wires in a way that will allow me to insert new ones into them?