Supersymmetric (SUSY) B-L (Baryon minus Lepton number) extension of the Standard Model (SM) is one of the best candidate for physics beyond the SM that accounts for TeV scale seesaw mechanisms and provides an attractive solution for the Higgs naturalness problem. In the context of SUSY B-L with an inverse seesaw mechanism, we calculate the one-loop radiative corrections due to right-handed (s)neutrinos to the mass of the lightest Higgs boson when the latter is SM-like. We show that such effects can be as large as O(100) GeV, thereby giving an absolute upper limit on such a mass around 200 GeV. We also show that the lightest right-handed sneutrino in this model is a viable candidate for cold dark matter. We find that it accounts for the observed dark matter relic abundance in a wide range of parameter space.