The curve C has polar equation \(r = 2 \cos \theta (1 + \sin \theta)\), for \(0 \leq \theta \leq \frac{1}{2} \pi\).

1. Find the polar coordinates of the point on C that is furthest from the pole.
2. Sketch C.
3. Find the area of the region bounded by C and the initial line, giving your answer in exact form.