Statement A: Electrostatic field lines originate from positive charges and terminate on negative charges. They do not form closed loops because the electrostatic field is conservative. Thus, A is incorrect.
Statement B: For a positive point charge (q>0), the electric field lines are directed radially outwards. Thus, B is correct.
Statement C: Gauss's Law is a consequence of the inverse-square nature of Coulomb's law (F∝1/r2). If the force law were different, Gauss's Law would not hold in its standard form. Thus, C is correct.
Statement D: The electrostatic field is conservative, meaning the work done in moving a charge along any closed path is zero (∮E⋅dl=0). Thus, D is correct.
Statement E: Coulomb's force is a central force. The motion of a particle under a central force always takes place in a plane because the torque about the center is zero, keeping angular momentum constant in direction. Thus, E is correct.
Since B, C, D, and E are correct, the correct option is (4).