Which of the following statement is false?

(1) $\mathrm{Pt}(+\mathrm{II})$ and $\mathrm{Au}(+\mathrm{III})$ with $5d^5$ configuration have larger CFSE and favour square planar geometry (i.e., $ds{p}^2$ hybridization) with weak as well as strong field ligands. 
(2) The ${\mathrm{t}}_{2\mathrm{g}}$ orbitals in tetrahedral complex are closer to the ligand-direction. They therefore possess higher energies than eg eg orbitals.

3) The CFSE is zero in both octahedral and tetrahedral complexes with weak field ligands for the ${\mathrm{d}}^0$ and ${\mathrm{d}}^{10}$ configuration.

All the given statements are correct.