A curve is such that \(\frac{d^2y}{dx^2} = \frac{24}{x^3} - 4\). The curve has a stationary point at \(P\) where \(x = 2\).

1. State, with a reason, the nature of this stationary point.
2. Find an expression for \(\frac{dy}{dx}\).
3. Given that the curve passes through the point \((1, 13)\), find the coordinates of the stationary point \(P\).