Well, it's very difficult to understand what happened. Can you post a picture of the minor damage?
"1. Trying to merge to the left lane ( one of the two left lanes)" Okay, that seems clear enough.
"2. Because of the traffic ( car in front of )- I could not merge, and I was asking people to let me merge in" Okay, seems fairly clear, though it's not clear how you were "asking", were you waving your arm out your window, or was it just your blinker?
"3. I can merge only half of the car to the left lane" Okay, so you're straddling the lane line?
"4. I am in the middle of two-lane ( the divider line is in front of me - the car may try to change / correct to the correct lane )" Again, it seems like you're straddling the lane line, but why do you think the car "may try to change/correct"? You're in control right? AP is not on right? The car may give you a proximity warning, but why do you think it will correct, and what do you think that means?
"5. My car is getting close (moving) to the car in from of me - really slow speed" Okay, so you are slowly wedging/forcing yourself into the left lane, but you're very close to the car in front. This is not uncommon in heavy backed-up traffic.
"6. I am trying to push the break paddle - the break pad got tight up and did not respond to my force of pressing the paddle
7. the car keep moving and hit the car in front of me" Everything seems okay up to this point, but now, it gets confusing. This is the critical point where something is not right. Were you able to save the video from this moment where you hit the car in front? It's extremely unusual and rare, if not seemingly impossible to press the brake pedal and have the car keep moving and hit the car in front.
Was your left foot stuck under the brake pedal, while you were pushing it with the right? How did you have time to actually look at your foot on the brake pedal? If a Tesla engineer is looking at the data, it will take them no time at all to tell which pedal was actually being pushed.
"It is possible. definitely the break padal does act firm and the slowly move forward and it does detect the car in front of me . I have no way do a complete stop to prevent an accident"
Again, this should be an impossibility, unless you have something stuck under the brake pedal, preventing you from completely pressing it. I would contact the Tesla engineer looking at the data, he should have an answer, immediately.