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We investigate the genuine multipartite entanglement, global entanglement,and quantum coherence among different configurations of a penta-partite systeminvolving particles inside and outside the event horizon of a Schwarzschildblack hole. We consider and analyze different scenarios based on how manyparticles are accessible. In each scenario, we evaluate first-order coherence,concurrence fill, and global concurrence under varying Hawking temperature andDirac particle mode frequency. For the fully accessible scenario with allparticles outside the event horizon, the measures exhibit non-monotonicbehavior with a discernible trade-off. In the partially accessible scenarioswith one particle inside the event horizon, monotonic variations and cleartrade-offs are observed. Finally, in the scenario when two particles are insidethe event horizon, concurrence fill becomes complex, attributed to theviolation of the entanglement polygon inequality in curved space-time. Thisresult reveals intricate relationships between entanglement and coherencearound the event horizon of Schwarzchild black holes. Our findings suggestreevaluating entanglement polygon inequalities and concurrence fill forapplicability in flat and curved space-times. These insights contribute to ourunderstanding of quantum information dynamics and gravitational impacts onentanglement in extreme environments.

Quantum Characteristics Near Event Horizons