Look up cruise power settings for the cessna. Planes are made in that way that no rudder has to be applied (or rudder trim) in cruise.
It is correct that the p-factor (propwash) will give the movement to the left, and this is most prominent at high power settings with low airspeeds. A lot of airplanes dont have rudder trim, so the solution is to apply right rudder, and keep the ball of the turn coordinator centred. Wings level + ball centred, should make you go in a straight line through the air!
The pitch is indeed probably due to not trimming out the airplane with the stab-trim.
Trimming out an airplane is one of the most important things to ALWAYS do. Always fly a trimmed airplane.