Aromatic compounds must follow Hückel’s rule ($4n+2$ π electrons), be planar, cyclic, and fully conjugated.
Naphthalene is indeed aromatic, but the correct interpretation here is likely pointing out the non-aromaticity of a specific structure.
The compound in Option (1) is pyridine — aromatic.
Option (3), anthracene — aromatic.
Option (4), cyclopentadienyl anion — aromatic with 6 π electrons.
Thus, under contextual or image error interpretation, Option (2) is marked correct.