general problems of the 2011 Toyota Corolla

I drive quite a bit and normally know my vehicles pretty good. I have recently obtained this 2011 Toyota Corolla s and it is in great condition overall. I made a trip 2 days after getting the vehicle and immediately noticed a hesitation between 55-65 mph. The first time it was approximately 11am in the morning at 78f. Driving on a flat well maintained black top road the vehicle does in fact have a constant hesitation that drops approximately 1000-2000 rpms with a noticeable feel in the vehicle. Immediately (3-4 sec) after the hesitation the vehicle recovers back to the original rpm. As long as staying in this speed range (55-65 mph) the vehicle has the hesitation repeatedly. The second issue that I have noticed on the same vehicle is the actual deceleration when removing my foot from accelerator. When traveling on the same road and time as stated above the vehicle seems to really coast right along or so it seems. When saying this, I removed my foot from accelerator and the vehicle rolls right along as if I am still pushing the accelerator at which time I must apply the brake more significantly than letting it just coast. I would like to know how this is effecting my gas mileage, is it going to cause undue strain on the drivetrain, is this going to be a problematic issue that Toyota is going to continue to ignore?.

I was getting out a parking in reverse, suddenly the car acelerated without control crashing with the car was behind in the other extreme in the parking. Damages:1-bumper, right and left of the rear sides of my car 2-back, front, and sides of the car which my car stopped.

Well the accident hasn't happened yet, but it could be right around the corner if the dealership doesn't fix this. When I let off the gas at speeds between 40-60 it seems as thought the cruse is on. The car does not decelerate normally. If there is a slight slope down it even picks up speed. It's still getting fuel even though you don't have your foot on the pedal. It can take a few min or several miles before it kicks off the gas and acts normally. I have an appointment with the dealership next Saturday to get this fixed, but I'm reading that some dealerships are saying this is normal. I hope mine doesn't say that because this is dangerous!! I have been reading that this is an issue with many owners. I hope this helps us get a recall from Toyota. Please help!!.

While traveling on highway at 65 miles per hour when I release the gas pedal the vehicle continues acelerated for about one minute and then I noticed that the rpm and the engine start to reduce speed.