The frictional force, the applied force, and the weight of the object all depend on the conditions of the system. If the object is in motion, the frictional force could be smaller or larger than the applied force depending on the situation (e.g., if the applied force is enough to overcome friction). Similarly, the weight of the object could be larger or smaller compared to the applied force based on the forces acting on the system.
Hence, all the statements could be correct depending on the context.