[Frigzy]

Thinner wires could be connected to a thermistor, that measures plug temperature, or/and some sort of digitally interfacing chip, that stores current limit for a particular plug.
It would be best if you can take apart remainings of the old plug to figure it out. Or at least measure the resistance across the thinner wires that are coming out of the old plug.

 

[Frigzy]

It may also be that manufacturer reused the cable, that goes from the charger to the vehicle (where blue and tan wires would be prox and pilot). In that case your 2 wires are not used, just disregard them.

I would suggest to connect the power wires and try to plug it in - it won't blow up - I promise
You may get one of these 3:
1) Everything will work normally (which means 2 wires were not used).
2) Charger will work, but in fall-back mode with limited charging current.
3) Charger will not work at all and it will indicate an error.

 

[Frigzy]

Try to connect power wires only and plug it in (don't connect thin wires to anywhere). Let's see how the charger behaves.
Do you have a multimeter? It would be helpful if you can measure resistance across the resistor-like thing.
It can be a thermistor, fixed resistor, junction or a 1-wire digital chip.

 

[Frigzy]

How much experience do you have with high voltage electrical circuits and electricity in general? If not much, please don't do anything - it may be very dangerous. Just buy a new charger - they're not expensive (and sell the chewed one off the eBay..).