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We investigate three barred lenticular galaxies (NGC 2681, NGC 3945 and NGC4371) which were previously reported to have complex central structures butwithout a detailed structural analysis of these galaxies' high-resolution data.We have therefore performed four- to six-component(pseudo-)bulge/disk/bar/ring/point source) decompositions of the composite(Hubble Space Telescope plus ground-based) surface brightness profiles. We findthat NGC 2681 hosts three bars, while NGC 3945 and NGC 4371 are double- andsingle-barred galaxies, respectively, in agreement with past isophotalanalysis. We find that the bulges in these galaxies are compact, and haveS\'ersic indices of $n\sim 2.2 - 3.6$ and stellar masses of $M_{*}$ $\sim0.28\times10^{10} - 1.1\times10^{10} M_{\sun}$. NGC 3945 and NGC 4371 haveintermediate-scale `pseudo-bulges' that are well described by a S\'ersic modelwith low $n \la 0.5$ instead of an exponential ($n=1$) profile as done in thepast. We measure emission line fluxes enclosed within 9 different ellipticalapertures, finding that NGC 2681 has a LINER-type emission inside $R \sim3\arcsec$, but the emission line due to star formation is significant whenaperture size is increased. In contrast, NGC 3945 and NGC 4371 have composite(AGN plus star forming)- and LINER-type emissions inside and outside $R \sim2\arcsec$, respectively. Our findings suggest that the three galaxies haveexperienced a complex evolutionary path. The bulges appear to be consequencesof an earlier violent merging event while subsequent disk formation via gasaccretion and bar-driven perturbations may account for the build-up ofpseudo-bulges, bars, rings and point sources.

Complex central structures suggest complex evolutionary paths for barred S0 galaxies