There is a technical service bulletin (TSB) for the gas level indicator problem. I don't remember which years are effected but my 2011 did. They replaced the fuel sender unit (the electronic component in the gas tank) and it is now showing the fuel level accurately. If your car is AWD, there are two fuel sender units, since the gas tank has two compartments due to the rear differential.
And yes...that is a typical CVT behaviour. I am not sure about the hills, becasue Ottawa, Ontario is a flat city

. I am not complaining during normal stop and go city traffic and on highway, but whenever I enter highway, on the acceleration lane, I step on the pedal down to the floor, the car screams as if I am not chanigng the gear of a manual transmission car...and then the car accelerates. That is the only time I hate CVT.