Arduino Pro Mini newbie question power supply
It fried because of one of three reasons.


You miswired it or a solder bridge or short. Your diagram has the red wire going to ground and black to raw. Red is normally positive. That alone suggests a miswire.
It's a bad board or clone or bad part.
You are pushing the 5V regulator too much. A car 12V system is really up to 14.5V, and sometime spikes higher. And depending on your load, a linear regulator can burn itself out. It's onboard regulator can only do 150mA. 


Not sure about what your servo specs are. If they run at 5V, that's fine. Both VCC pins are connected together, they are the same net. The onboard 5V regulator can only do 150mA, so the servos would draw too much. Use a Car USB adapter connected to VCC. They are 12V to 5V regulators and most do 600mA and above.