This article investigates a hybrid cavity magnetic-cavity optomechanical system incorporating an optical parametric amplifier, examining its multi-window transparency phenomenon and fast-slow light conversion effect. The characteristics of the output field are analyzed through the dynamic evolution of the system Hamiltonian and the input-output field relationships. Numerical simulations reveal that distinct transparency windows emerge through the sequential introduction of cavity-magnetic coupling, effective magnetic-phonon coupling, cavity-cavity coupling, and effective optomechanical coupling. The transparency windows can be precisely controlled by modulating the coupling strength. The incorporation of optical parametric amplifiers enhances the peak amplitude on the right side of the absorption spectrum, enabling specific regulation of magnetically induced transparency. Furthermore, investigation of the system group delay effect, induced by various coupling mechanisms and optical parameter amplifier gains, demonstrates the capability for conversion between fast and slow light propagation.