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This study explores the parameter influence on the linear stability characteristics of viscous compressible coaxial jet flow at subsonic flow velocities. We study the impact of parameters on the disturbance development, such as the Reynolds number, Mach number, momentum thickness, temperature and velocity ratio between bypass flow and core stream as well as the influence of the azimuthal wavenumber. In addition to the discussion on the unstable modes, we also investigate the properties of acoustic (radiating) modes which are relevant for sound propagation to the acoustic far-field. By analyzing the eigenfunction profiles of the acoustic modes, we identify a possible interaction mechanism between the shear layer and the acoustic modes.