2011 Lexus ES350 Engine problems

My lexus es 350 engine shut off while driving on hwy w/o prior notification of any error messages. Mechanic said diagnostics pointed to cooling system error - water pump related. The pump was repaired. Car temp light would fluctuate from cold to hot back to cold. Mechanic said cooling system appears to be functioning but sensory gauge still fluctuating. Dealer mechanic said water pump needed to replaced but this was already done. Then independent mechanic informed me that engine overheated and warped. Now car needs engine. Car initially shut down on highway w/o warning.

Lexus inbox x [[redacted]] <[[redacted]]@gmail.Com> 10:23 am (0 minutes ago) to me I own a 2011 lexus es 350. On 12/10/2015 I was parking in a church parking lt when suddenly my car roared like an airplane and surged up a hill through an iron gate at a cemetery, downing a stone pillar and finally coming to a stop on top of a headstone. I cannot describe the sheer panic I experienced. My first thought was thank god no one was in front of me. The previous day I picked up my 5 yr old granddaughter at her...

At approximately 6:30pm, while making a right hand turn into a friends driveway, the vehicle suddenly accelerated on it's own, and the brakes would not work. The vehicle continued to the right as if locked in to the right hand position, hit a tree and finally came to a stop by hitting high concrete steps. The vehicle was towed to the dealership, and later to the body shop as the vehicle was not drivable. During the interim, the vehicle was inspected by toyota. Post investigation, the letter recently received...

At about 2:00 pm on dec 26, 2011, while parking in a public covered garage, I turned into the parking space, positioned my car, and was about to turn off the engine when the car lurched forward, hitting the concrete wall in front of me. The passenger in my car, my 21 year old daughter, also a licensed driver, felt the car lurch and accelerate forward. Since I had reached a good parking position, I am certain that I had my foot on the brake and would not have been trying to accelerate. The injury to my foot,...