you shoudl have stopped, fleeing from the scene is a bad idea, if he managed to read your plate it's possible he has filed an FIR now.
If you had stopped and talked ot him or possibly had him speak to your dad i'm sur eeverything would have been cool now. Please, in the future don't run.
also you should avoid pulling the handbrake in an emergency, since the vitz has ABS you shoudl have pressed the pedal as hard as you could and steered out of the way. the biggest advantage of ABS is that you can steer while braking, but as soon as you pull the handbrake it'll unsettle the car and you can have a pretty bad accident.
Glad you are ok, but please PLEASE don't run next time.