(I) In \([ \text{Ni(CO)}_4 ]\), Ni exhibits a stable low-spin electronic configuration with no unpaired electrons, resulting in diamagnetism. Conversely, in \([ \text{NiCl}_4 ]^{2-}\), Ni's higher oxidation state leads to unpaired electrons, causing paramagnetic behavior.
(II) CO's potent \(\pi\)-acceptor ability enables it to form stronger bonds with metal centers than NH\(_3\), a ligand with weaker field strength.
(III) The trans isomer of \([ \text{Co(en)}_2\text{Cl}_2 ]^{+}\) is optically inactive due to its symmetrical structure, precluding optical isomerism.