Angular Momentum Observation!

A thin rod of mass ' $m$ ' and length ' $l$ ' is rotating in horizontal plane with constant angular velocity about a vertical axis $AA'$ . If there are three points $O, 1$ & $2$ on the axis as shown in figure, then choose the correct statement(s) :-

(A) Angular momentum about the points $O, 1$ & $2$ are same.

(B) Component of angular momentum along axis $AA'$ is same for all the points $O, 1$ & $2$ .

(C) Net torque about point $O, 1$ & $2$ are same.

(D) Angular momentum about point $1$ is not constant.