A theoretical investigation of dissociative recombination and dissociative excitation processes involving electron collisions with the argonium ion (ArH+) at energies up to 7 eV is presented. Curves and couplings obtained using R-matrix calculations are used to provide the input for molecular dynamics calculations based on the Multichannel Quantum Defect Theory. A full set of vibrationally resolved cross sections and rate coefficients is presented for the kinetic modeling of argon-containing non-equilibrium plasma.