Om results concern the electron-radiation and Coulomb electrnn-electron interactions in system of two-dimensional (2D) electrnn-hole pairs on the layer embedded into the microcavity and subjected to the action of a strong pe1pendicular magnetic field as well as of the electric field in the same direction giving rise to the Rashba spin-orbit coupling (RSOC) with the third order chirality te1ms and with a quaiiic tenn in the nonparabolic dispersion law of the heavy holes in the GaAs-type quantum well. In these conditions the magnetoexciton-polariton branches have the nonmonotonous dependences on the magnetic field strength B with intersections and strong changing of the quantum transition probabilities. The more simple cases without polai·iton branches were described eai·lier in the Refs. [1, 2]. The Rabi frequencies which detennine the spread of the polai·iton branches are propo1iional to the dipole moment pcv of the optical quantum transition between the valence and conduction bands, they increase as ✓B with the increasing of the magnetic field and obey to the selection mle following which the numbers of the Landau quantization levels of the electron and hole in the composition of the magnetoexciton coincide. Similar prope1iies were revealed in Ref. [3]. The coherent macroscopic state was introduced into the Hamiltonian following the Keldysh­ Kozlov-Kopaev method in combination with the Bogoliubov theo1y of the -quasiaverages. -The equations of motion were deduced for the two-paiiicle integral operators p(Q) and D(Q) describing the optical and acoustical plasmons coITespondingly as well as for the creation and annihilation operators lf/,u-Ck;1), 1//,u-1,  ck,,ki' ck,,ka of the magnetoexciton and photon modes in the microcavity coITespondingly. Such possibility is due to the degeneracy of the Landau levels, which in Landau gauge do not depend on the one-dimensional wave vector. It was shown that the presence of the SOC is equivalent to take into account the influence of some excited Landau levels. It pennits to obtain following [ 4] the energy spectIUill of the collective elementaiy excitations, even when the ground state of the system is the Bose-Einstein condensation of the 2D magnetoexciton-polai·itons on the lower polariton branch with the in-plane vector k;1 = O. The calculations in this direction are continued. E. V. D., I.V.P., and V.M.B. thank the Foundation for Young Scientists of the Academy of Sciences of Moldova for financial support (14. 819. 02 .18F).