(I) The electronic configuration of Ni in \([ \text{Ni(CO)}_4 ]\) is such that it forms a stable low-spin configuration, leading to no unpaired electrons and thus diamagnetic behavior. However, in \([ \text{NiCl}_4 ]^{2-}\), the higher oxidation state of Ni leads to unpaired electrons, making it paramagnetic.
(II) CO has a strong \(\pi\)-acceptor property, allowing it to form stronger bonds with metal centers compared to NH\(_3\), which is a weaker field ligand.
(III) The trans isomer of \([ \text{Co(en)}_2\text{Cl}_2 ]^{+}\) is optically inactive due to the symmetry of the complex, which prevents optical isomerism.