Using the 12-band photometric system of the Southern Photometric Local Universe Survey (S-PLUS), we perform a spatially-resolved SED-fitting analysis of five gas-stripped galaxies located within the virial radius of the Fornax cluster. This approach allows us to investigate their stellar populations and emission-line properties and to assess the environmental effects shaping their evolution. We reconstruct both spatially-resolved and region-integrated star formation histories, finding that the inner regions of the galaxies formed earlier and more rapidly than their outskirts. NGC 1437A, ESO358-G051, and ESO 358-G063 exhibit patterns consistent with an inside-out growth scenario for a certain time period, followed by a transition to an outside-in quenching, occurring around their inferred infall times. The observed central star formation enhancement of the latter two galaxies is likely driven by gravitational interactions. We find that the main stellar body of NGC 1427A was probably assembled after the galaxy was accreted by the cluster, between 250 Myr and 2 Gyr ago, with maximum activity at 700\,Myr, whereas its northern clump grew over a similar period, but with a maximum at 450\,Myr and a star formation history indicative of ram-pressure-induced effects. The star formation history of NGC 1437B, in contrast, is consistent with starvation coupled to tidal interactions and ram-pressure stripping, leading to a gradual decline in star formation. Altogether, our results support a scenario in which gravitational interactions promote the effectiveness of ram pressure stripping in Fornax galaxies, highlighting the combined role of multiple environmental processes in driving galaxy evolution within low-mass clusters.