The aim of the present paper is the development of efficient models of nonequilibrium transport properties to be used in the computational Navier-Stokes codes for the calculation of the flow parameters in a shock heated gas around reentering vehicles. The multi-level transport kinetic theory is applied for the conditions behind plane shock waves, the heat transfer and diffusion are investigated. Binary mixtures of atoms and molecules with dissociation, recombination and various vibrational energy exchanges are considered. The effect of the different interaction potentials on the transport properties is evaluated. The results are compared with the ones obtained in the two-temperature and one-temperature approximation.