Recent observations with the James Webb Space Telescope (JWST) reveal that the merger fraction among Lyα emitters (LAEs) at redshifts z > 3 is significantly higher than previously estimated. In this study, we focus on three high signal-to-noise merging LAE systems at 3 < z < 4, selected from the Very Large Telescope/Multi Unit Spectroscopic Explorer-Deep survey in the GOODS-S field. We combine new JWST/NIRCam broadband and medium-band imaging with archival Hubble Space Telescope/ACS data to perform spatially resolved spectral energy distribution fitting using the Bagpipes software package. Our analysis reveals that two of the systems are minor mergers, while the third is a major merger. The close agreement between spatially resolved and integrated stellar mass estimates indicates that recent star formation does not significantly outshine the light from older stellar populations in these systems. Moreover, both the individual components and the systems as a whole lie on the star-forming main sequence, further supporting the conclusion that these mergers have not yet triggered substantial starburst activity. Furthermore, we detect prominent color gradients and disturbed dust distributions in these merging systems, indicating that the mergers have already induced significant internal structural perturbations. These morphological and dust-related changes may facilitate the escape of Lyα photons—potentially through mechanisms such as gas redistribution or a reduced covering fraction of neutral hydrogen—thereby playing a key role in shaping the observed properties of LAEs.