To start, on [XXX], I was going through an intersection on a country road and my automatic emergency braking engaged for no reason. My car stopped despite no other vehicle or object being in my way or anywhere close to me. I found it really weird but did not think much about after the fact. I have also heard a rattling noise under my hood since [XXX] and have reported this to Toyota and tried to have it fixed multiple times (and showed them videos) but they were never able to duplicate the noise so it has not been remedied. On [XXX] I was traveling on a highway during rush hour and the traffic in front of me came to a sudden stop. I braked as hard as I could; my automatic emergency braking did not engage and I rear ended the car in front of me (minimal damage to that car). We both immediately pulled partway onto the narrow left berm (we had both been in the left lane to get onto another highway). My car then turned off by itself and gave me an engine warning (I believe low engine oil- I had just had it serviced 3 days prior). The other car owner and I exchanged information quickly and decided to drive away because we were blocking rush hour traffic and it was dangerous. However, my car would not start back up. I called 911 and they came to use their vehicle to push me to the right side of the highway onto an exit where I was no longer blocking traffic. During the wait, I felt like I was going to die with traffic honking and swerving to avoid me. When the police officer was mo