Go back to the dealership and purchase the pig-tail also. The resistor pack connector is exposed to the elements. Moisture gets in there and corrodes the terminals. The corrosion causes a hot-spot, and can melt the connector and burn the insulation off the wires.
The replacement just splices in, and the resistor pack only has two screws holding it into the blower housing.
It's easier to remove the resistors if you remove the screw holding the cruise control servo and lay it out of the way. Cut the wires back to where you have a good connection, then splice, solder, and shrink-tube the connections to keep them weather-tight. (I had to cut back 9" of wire to get to good copper thanks to the corrosion that had oxidized the copper up inside the insulation).
Then, before you reinstall everything, I sealed-up the outside of the plug with some copious amounts of silicone, and applied a liberal coating of dielectric grease to the face of the connector and the pins on the resistor pack. It should out-last the vehicle now.
-Joe