Select the correct statements from the following.

Statement (1) is incorrect. Atoms with paired electrons and zero nuclear spin (e.g., ^{4}_{2}\text{He}$, ^{12}_{6}\text{C}$) have a net magnetic moment of zero.

Statement (2) is correct. A proton is a spin-$1/2$ particle and possesses an intrinsic magnetic moment.

Statement (3) is incorrect. Nuclei with an even number of protons and an even number of neutrons (even-even nuclei) have zero nuclear spin and zero magnetic moment.

Statement (4) is correct. An electron is a spin-$1/2$ particle and possesses an intrinsic magnetic moment.