<p>With the increasing load on the cellular networks, efficient use of scarce radio resources is catching more attention. At the same time, energy consumption has become a major concern in the context of green communications. One promising solution in 5G cellular networks for improving capacity, coverage, and reliability, is the use of Drone Base Stations (DBSs). In-Band Full-Duplex (IBFD) communication is another promising technology that improves spectrum efficiency. Previous studies have explored the deployment of DBSs with the aim of improving the spectrum efficiency, maximizing the coverage area, or enhancing the energy efficiency. However, none have simultaneously addressed both spectrum and energy efficiency. In this research, we exploit DBSs alongside ground base stations to jointly improve energy efficiency and spectrum efficiency under the assumption of IBFD communications. Accordingly, the deployment of DBSs and the allocation of resources are carried out while the user QoS requirements are taken into account. To solve the formulated multi-objective optimization problem, we propose two centralized methods. Specifically, we exploit Multi-Objective Particle Swarm Optimization (MOPSO) and Multi-Objective Evolutionary Algorithm based on Decomposition (MOEA/D) meta-heuristics to obtain a near-optimal solution. The results of the MOPSO-based algorithm show that on average, throughput improves by 39% compared to the prior work focused on reducing energy consumption, and energy consumption reduces by 37% compared to the prior work aimed at improving throughput. Moreover, the simulations demonstrate that the MOEA/D-based algorithm achieves results comparable to those of MOPSO-based algorithm, but with faster convergence.</p>