  The bulk properties of nuclear matter and neutron stars with the newly
generated relativistic interaction DBHP are investigated which provides an
opportunity to modify the coupling parameters keeping in view the finite
nuclei, nuclear matter, PREX-II data for neutron skin thickness in $^{208}$Pb
and astrophysical constraints. The relativistic interaction has been generated
by including all possible self and mixed interactions between $\sigma$,
$\omega$, and $\rho$-meson up to the quartic order satisfying the naturalness
behavior of parameters. A covariance analysis is performed to assess the
statistical uncertainties on the model parameters and observables of interest
along with correlations amongst them. We obtained a value of neutron skin
thickness for $^{208}$Pb nucleus $\Delta r_{np}$ = 0.24 $\pm$ 0.02 fm. The
maximum gravitational mass of neutron star and radius corresponding to the
canonical mass ($R_{1.4}$) come out to be 2.03 $\pm$ 0.04 M$\odot$ and 13.39
$\pm$ 0.41 km respectively. The dimensionless tidal deformability, ${\Lambda}$
for a neutron star is also analyzed.
