Go to NAPA or auto parts store and buy a new universal wire connector and splice it in. To replace it with what you have you will have to buy the harness. Unless you can find used Big $'s
This is where you will need a wiring diagram. The Cub 1000 series is MTD and the last time I needed a wiring diagram for a cub 1000 series I found a MTD diagram on the net. I also bet someone will be helping you on this forum.