Camry 2012+ :: Car Seems Unstable (shaking) Sometimes While Driving At Over 70mph

I recently bought a camry 2013 and I have a few questions.

-Some mechanical click sounds in the rear when navigating on tight turns at speed of 25 - 30 mph (the trunk is empty and there is nothing in th back seat)

-Transmission jerks when accelerating/decelerating between 25 - 45 mph speeds. If I accelerate from a stop and get up to 30/35 mph and go easy on the gas, then I can feel the transmission jerk (and get into a different gear ?).

-Occassionally the car seems powerless. This happens when the AC is turned on and the car refuses to increase speed on a level road and engine rpm at about 2300

-Mostly on highways, I keep pressing on gas and still the car doesn't pick up on speed.

-Remote doesn't function in the mornings. Every single morning. Have to click unlock a couple of times before it can work. It happens Occassionally during the day at any given hour.

-Occasionally Radio will restart for no reason.

-Can feel engine jerking (turning off with a thud) when turning off ignition

-Assisted braking works only between speeds 35 to 20 post which the braking by the engine will suddenly release.

To describe better this is what exactly happens: The car is travelling at 50 mph. To stop when I am applying little pressure on the brake pedal, say 10 lbs, the car begins to slow down, once it is in the 20 to 35 mph range, the brakes will behave like 15 lbs of pressure is being applied. Once the car is at around 20 mph, then all of a sudden the pressure will disappear and the car will come to a hault whenever it feels like stopping.

OR, from a speed of 35 mph take your foot off the accelerator and wait for the car to come to halt on its own. You can then feel how unstable the speed of the car gets due to this assisted braking not working properly ?

-Car seems unstable (shaking) sometimes while driving at over 70mph

-Never been able to get the advertised 35 mpg on highways.

-Many a times when I flick the indicator stick up (to turn the right blinker) there is a distinctive metallic 'click' sound like a washer/bush out of place. Same with the steering if I keep turning it all the way to left then it stops with a metalic click.

-The pasting of the interior (white colored) is coming off near where the left foot (dummy) pedal is.