Other Fuel System Fuel Injection System problems of the 2005 Honda Pilot

I experienced a sudden involuntary unintended acceleration, while I was slowly pulling into a perpendicular parking space in at a medical center parking lot. This happened on a nearly empty tank of gas at about 3:15 pm on Saturday 4/16/16. It was a hot day. The parking space was at a slight incline. I was moving very slowly nearly stopped, yet once I was about a third of the way into the space, while still gently breaking, my car suddenly lurched forward with tremendous force if I had completely floored the gas pedal. I reacted fast pushed the breaks hard with all my strength. Which engaged the antilock braking so I heard a "thud-thud thud" a loud repeated clunking-locking sound. My Pilot did stop before hitting a tree and the vehicle in the facing parking space. I did not hear the engine rev to the degree of the sudden forward motion. Nor did I hear revving resolve once it stopped. It was a very odd and frightening experience that baffled my mind. I tried to sort out the cause for a while to see if maybe I had without knowing it put my foot on both pedals. But I don't think so. I had sandals on, and in trying to reproduce the situation, or the position my foot would have to have been in to do that, was awkward and I would have felt the pressure on my foot of putting on the gas. And I was only slowly pressing the break not jamming on the break ¿ until I braked to stop the speed of it lurching forward. The degree of acceleration was as if the gas pedal was put to the floor which was not what my breaking foot was doing. The car did come to a stop just in time to not hit what was at the front of the parking space. I did not hear the engine noise rev at all. My best guess at the time was something went terribly wrong with the mechanics or electrical signals of the fuel injection to move so suddenly forward. Now I am worried about the safety of this vehicle.