This problem includes conceptual mixing of CFSE, CFT and magnetism in coordination compounds. This problem can be solved by usual understanding of each statement as explained below :
(I) Both Co2+ and Co3+ are stabilised in presence of strong of field ligands due to high CFSE values.
(II) Due to higher Zeft values on the valence shell Pd2+ and Pt2+ cations, they always form inner orbital complexes but are diamagnetic in nature and square planar.
(III) [Ni(CO)4];sp3, tetrahedral, μ=0BM [Ni(CN)4]4−;dsp2, square planar, μ=0BM
(IV) In Ni+2, pairing of electron do not occur in presence of weak field ligands, so they form an outer orbital complex.
Electronic distribution unaffected.