The curve C has equation \(y = \frac{4x^2 + x + 1}{2x^2 - 7x + 3}\).

1. Find the equations of the asymptotes of C.
2. Find the coordinates of any stationary points on C.
3. Sketch C, stating the coordinates of any intersections with the axes.
4. Sketch the curve with equation \(y = \left| \frac{4x^2 + x + 1}{2x^2 - 7x + 3} \right| = k\) and state the set of values of \(k\) for which it has 4 distinct real solutions.