  We calcuate electronic spin susceptibility and spin-lattice relaxation rate
in singlet superconductor near a pairbreaking surface, or in a domain wall of
the order parameter. We directly link presence of high-density Andreev bound
states in the inhomogeneous region, combined with coherence factors, to
enhancement of the susceptibility above the normal state's value for certain
$\bf q$ vectors. Beside the dominant peak at ferromagnetic vector $q=0$, we
find significant enhancement of antiferromagnetic correlations at vectors
$q\lesssim 2 k_f$, with $\bf q$ $along$ the domain wall in $S$-wave
superconductor, and $across$ domain wall in $D$-wave (nodes along the wall).
These features are destroyed by applying moderate Zeeman field that splits the
zero-energy peak. We solve Bogoliubov-de Gennes equations in momentum space and
our results deviate from the lattice models investigated previously. Large
enhancement of the spin-lattice relaxation rate $T_1^{-1}$ at the domain wall
provides clear signature of the quasiparticle bound states, and is in good
agreement with recent experiment in organic superconductor
$\kappa$-(BEDT-TTF)$_2$Cu(NCS)$_2$.
