  We study a singlet extension of the minimal $U(1)_R$ symmetric model, which
shares nice properties of Dirac gauginos and $R$-symmetric Higgs sector. At the
same time, a superpotential coupling of $R$-charged singlet to the Higgs
doublets can give a substantial contribution to the Higgs boson mass. We show
that the 125 GeV Higgs boson is consistent with perturbative unification, even
if the SUSY scale is as low as 1 TeV and if the $D$-term Higgs potential is
suppressed as is often the case in Dirac gauginos. The model also contains a
light scalar and fermion, pseudo-moduli and pseudo-Goldstino: The former gets a
mass mainly from SUSY breaking soft terms, in addition to a small explicit
$R$-symmetry breaking for the latter. We examine how the Higgs mass and width
are affected by these light degrees of freedom. Specifically we find
thatdepending on parameters of $R$-charged Higgses, the pseudo-moduli lighter
than a half of the SM-Higgs boson mass is still allowed by the constraints from
invisible decays of the $Z$ and Higgs bosons. We also find that such a light
scalar can reduce the Higgs boson mass, at most by a few percents.
