The connectors are standard automotive connectors - may need a small screwdriver or a squeeze depending on the type.
Regards the wiring - in the boot it is usually damaged somewhere that it bends along the run. If you expose the wires from the wrapping, it will be obvious & you will find somewhere with insulation that has worn away & exposed the inner cable, or an actual break (less likely).
With it all wrapped up, you will struggle to find it.
The good news is that the damaged area is usually pretty easily accessible & a simple fix once found.