  Nuclear spins with hyperfine coupling to single electron spins are highly
valuable quantum bits. In this work we probe and characterise the particularly
rich nuclear spin environment around single silicon vacancy color-centers (V2)
in 4H-SiC. By using the electron spin-3/2 qudit as a 4 level sensor, we
identify several groups of $^{29}$Si and $^{13}$C nuclear spins through their
hyperfine interaction. We extract the major components of their hyperfine
coupling via optical detected nuclear resonance, and assign them to shell
groups in the crystal via the DFT simulations. We utilise the ground state
level anti-crossing of the electron spin for dynamic nuclear polarization and
achieve a nuclear spin polarization of up to $98\pm6\,\%$. We show that this
scheme can be used to detect the nuclear magnetic resonance signal of
individual spins and demonstrate their coherent control. Our work provides a
detailed set of parameters for future use of SiC as a multi-qubit memory and
quantum computing platform.
