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The Super Problem of Finding Inverse Proportion in Mathematics in Eight Cases (Good topic)
As shown in the figure, the image of linear function y=kx+2 and the image of inverse proportional function y=mx intersect at point P, point P is in the first quadrant, PA⊥x axis is at point A, PB⊥y axis is at point B, and the image of linear function intersects at points C and D, respectively, with S△PBD=4 and OCOA = 6544.

(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.