Real coefficients and a known complex root

Consider the equation $2z^3+pz^2+qz-65=0$.

(i) If $p$ and $q$ are real numbers, what are the possibilities for real and complex roots for this equation?

It is given that $z=3+2i$ is a root of the equation $2z^3+pz^2+qz-65=0$, where $p$ and $q$ are real numbers.

(ii) Find the values of $p$ and $q$.