Recover parameters and check the complete curve

The curve $C$ has an equation $y=\dfrac{ax^2+bx+a}{x^2-b}$ where $a$ and $b$ are constants.

(i) Given that two of the asymptotes of $C$ are $x=2$ and $y=3$, determine the values of $a$ and $b$.

(ii) Sketch the curve $C$, giving the coordinates of the point(s) where the curve crosses the axes, stationary points and the equations of all asymptotes.