I have an auto FRS (13'), I noticed the same sometimes when I put up my e-brake and exit the car. it could be coming from the part of the rotor that touches the e-brake mechanism, in this case It could be rubbing or something when the car slightly moves when entering or exiting. I weigh about 200 pounds, Iv had my mother try to replicate the sound when exiting the car (I think she weighs in around 100-130 lbs) who knows? and it never makes a sound. I have never heard it when the e-brake is all the way down.
Iv never really thought too much of it, even when my e-brake is half way up or like 75% up, no sound. only when its fully engaged. (meaning the lever is pulled all the way up) and even then, it only happens sometimes...
I have never "ripped" my e-brake to drift, only if im on a hill or trying to look cool while stationary.