well it is kind of like this equation v= dx/dt, and if you rearrange it you get t=dx/dv, and same goes for rotational motion equation w=dθ/dt, at least i think so.
in c i get 0.395s
you are using the wrong value of l, you have to put in the total width of the door in the equation, it doesn't matter where she pushes the door, it only matters when calculating the torque.