Parking Brake Related Problems of the 2010 Toyota 4Runner

Parking Brake problem

Toyota rav4 2010 - on stop and go traffic I was going about 5 mph and I looked down for a second and rear ended another car. Before I hit the car I slammed on my brakes and based on my many years of driving experience (12+) I believe the car should have stopped but it did not. The incident was very minor. My car has a few scratches that may go away with just soap and water. The other car did not have any damage. I did have neck pain all week and I still have it on and off. After the incident I tried, on safe conditions, to go up to 20 mph and brake suddenly and noticed that the car looses braking power as you do this. The brakes full power is felt mid press (as they are half way down) but as they are pressed all the way in they loose power. I had noticed a loud sound when I used my hand brake after putting the car in park. The car also moves about an inch or two after I put the car in park and depress the brake pedal. I called the dealer about the hand brake issue and they said it was normal as the gear was going into place. I didn't think to much of it but after my car crash incident I think that there may be a problem with the brakes.