(1) Find the coordinates of point D and the length of BD;
(2) Find the analytical expressions of linear function and inverse proportional function;
(3) directly write out the value range of X when the linear function value is greater than the inverse proportional function value when X > 0 according to the image;
(4) If there is a point Q on the hyperbola, so that the quadrilateral with vertices B, D, P and Q is a right trapezoid, please write the coordinates of the qualified point Q directly.