Inspired by experimental results, we present a model of two coupled, non-resonantly driven exciton-polariton spins located at two neighboring traps in presence of optomechanical interactions. Our framework considers a comprehensive set of interactions, including polariton-polariton, phonon-mediated inter-trap and intra-trap couplings as well as dissipative, reservoir-mediated effects. By analyzing the system dynamics, we identify complex spin and phonons states. The results help us to interpret experimental spectral observations of phonon related inter-trap and intra-trap lockings.