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Angular distributions of the elastic and inelastic scattering of 15N ions by 6Li nuclei were measured at the energy Elab(15N) = 81 MeV. The data were analyzed within the coupled-reaction-channels method (CRC). The elastic and inelastic scattering, spin reorientation of 6Li as well as the one- and two-step transfer reactions were included in the channels-coupling scheme. The potential of Woods - Saxon form (WS) and double folded potential DF for the 15N + 6Li nuclei interaction were used in CRC-calculations. The WS potential parameters, deformation parameters of 6Li and 15N nuclei were deduced and the information about the role of other processes in the 15N + 6Li elastic and inelastic scattering was obtained. Spectroscopic amplitudes of nucleons and clusters, calculated according to a translational invariant shell model, were used in the CRC-calculations. It was established that the potential scattering and the 6Li spin reorientation are dominated in the 15N + 6Li elastic scattering. Contributions from particle transfers in this scattering were negligible. Comparing the 15N + 6Li and 15N + 7Li elastic scattering at the energy Elab(15N) = 81 MeV, it was found marked differences between the experimental data and interaction potentials (isotopic effects).