Modelling of neutron-induced reaction cross sections is essential for applied nuclear science and nuclear data evaluation. In this study, excitation functions for the reactions ³²S(n,p)³²P, ³⁵Cl(n,α)³²P, and ³⁵Cl(n,p)³⁵S were investigated from threshold energies up to 20 MeV. The calculations were performed using the EMPIRE 3.2.3 nuclear reaction code with different pre-equilibrium model options, namely MSD (Multi-Step Direct), MSC (Multi-Step Compound), PCROSS (Pre-equilibrium cross section), and HMS (Hybrid Monte Carlo Simulation). The theoretical results were compared with available experimental data over a broad energy range up to 20 MeV. The calculated cross sections show good agreement with experimental data near threshold energies, indicating the dominance of the compound nucleus mechanism in this region. However, as the incident neutron energy increases above approximately 5 MeV, noticeable discrepancies emerge among the model predictions, reflecting differences in the treatment of pre-equilibrium processes. In particular, the PCROSS model tends to produce relatively higher cross sections in the energy region between 7 MeV and 12 MeV, where multi-step pre-equilibrium effects become more significant. Overall, the results demonstrate that the choice of pre-equilibrium model has a substantial impact on the predicted cross sections. This study highlights the sensitivity of neutron-induced reaction calculations to reaction-mechanism inputs and provides useful guidance for the appropriate selection of model options within the EMPIRE framework for nuclear data evaluation and related applications.