The correct options are
A the electric field must not be zero
C the magnetic field may or may not be zero
Electromagnetic force is the force on charged particle due to both electric field and magnetic field. Also, the electric force can be experienced by charges at rest. Magnetic force can be experienced by charges in motion. Hence, if a charged particle kept at rest experiences an electromagnetic force, the electric field must not be zero and the magnetic field may or may not be zero.