Ok, here we go....
A plane has three primary control surfaces.
Ailerons : These control the roll of an aircraft. As the control columm is moved to the left, the left aileron moves up and the right aileron moves down. These control deflections alter the amount of lift produced. Resulting in a roll angle to the left. etc, etc
Rudder: This is found on the vertical stabiliser. This is controled by the lower pedals. Pressing the left lower pedal down will result in the aircraft to yaw to the left, vise versa.
Elevator: this is on the rear horizontal wing. This controls pitch (up/down)
Simple yeah?
I think you mean "TRIMMER"....this adjusts the elevator. It is used to dampen out control forces, and yes it is on a spinning wheel
Braking and rudder controls are seperate. There are two sets of pedals, the lower are for rudder control, and the upper two are used when braking on the ground. Funnly enough these are NOT airbrakes.