This happened to us too. The level 1/2 charging port wouldn't release and in our wiggling apparently we broke the pin (top left) as well as the corresponding part on the charger.
Nissan quoted me "in the thousands" to fix it and nearly $200 for diagnostics & estimate. I purchased a replacement...
I have a similar situation - one pin on car port is bent and there is a piece of plastic broken off on the plug. It charged fine for awhile (but wouldn't work with other chargers because the piece wouldn't allow the charger to seat properly) but now starts to charge and stops. Must be shorting...