The pulling to the side is related to the thrust line or over all airplane alignment. The nose wanting to lift is normal unless it's a very strong tendency to lift in which case it is due to being nose heavy and the need for elevator trim to balance this. Downthrust is often used to somewhat compensate for the tendency of the model to climb with added power.

There is a link to a site where you can input some measurements of your model and find the CG you should be using. Be sure to include the wing's sweep angle as that makes a difference to the CG location.

http://www.geistware.com/rcmodeling/cg_super_calc.htm