A charged particle of mass 'm' and charge 'q' moving under the influence of uniform electric field $$E\hat{i}$$ and a uniform magnetic field $$B\hat{k}$$ follows a trajectory from point P to Q as shown in figure. The velocities at P and Q are respectively, $$v\hat{i}$$ and $$-2v\hat{j}$$. Then which of the following statements (A, B, C, D) are the correct? (Trajectory shown is schematic and not to scale)

(A) $$E = \frac{3}{2}\left(\frac{mv^2}{qa}\right)$$
(B) Rate of work done by the electric field at P is $$\frac{3}{2}\left(\frac{mv^3}{a}\right)$$
(C) Rate of work done by both the fields at Q is zero
(D) The difference between the magnitude of angular momentum of the particle at P and Q is $$2mav$$.