This paper studies the nano-diamond structure, commonly known as the ultra-dispersed diamond (UDD) structure. This diamond-decorated system is formed with the mixed spins S = 2 and σ = 3/2. This study uses the Monte Carlo simulations (MCS) under the Metropolis algorithm. We envisaged both the first nearest-neighbor interactions and the second nearest-neighbor interactions. For simplicity, we used the reduced crystal and external magnetic field. When fixing the other physical parameters, we inspected the temperature effect on the phase diagrams of the studied system. Also, we illustrated the thermal behavior of the magnetic entropy changes of the studied system for several reduced external magnetic field values. In addition, we presented the relative cooling power (RCP) as a function of the reduced external magnetic field of the (UDD) system. The effect of the reduced crystal field on the magnetizations of the diamond-decorated system has been investigated. To complete this study, we presented and discussed the magnetic hysteresis cycle of the studied diamond-decorated system.