Using LDA+GTB multi-band approach, we studied the compression dependence of the electronic structure and in-plane superexchange interaction J(P) in the antiferromagnetic La214 at the 0% and 3% - hydrostatic and unaxial (along c axial) compression. We obtained the superexchange interaction J(P=0)~0.15eV is enhanced by ~20% under the 3% - hydrostatic compression and vice versa the J(P) is decreased slightly by ~5,7% under the 3% - uniaxial compression. In both cases the J(P) correlates with the in-plane hopping parameters and dd-excitation energy delta_s=e(^3B_{1})-e(A_{1})$ involving the the two-hole states: Zhang-Rice singlet and ^3{B_{1}} triplet states. The spectral density of the first removal states is a combined singlet-triplet character and a sign of changes in the one with the pressure clearly reproduces the vec{k}-distribution of quasiparticle states with a different a_1- and b_1-symmetry over the Brillouin zone as a whole.