  We investigate the implications of parity-violating electron scattering
experiment on neutron skin thickness of $^{48}$Ca (CREX) and $^{208}$Pb
(PREX-II) data on the bulk properties of finite nuclei, nuclear matter, and
neutron stars. The neutron skin thickness from the CREX and PREX-II data is
employed to constrain the parameters of relativistic mean field models which
includes different non-linear, self and cross-couplings among isoscalar-scalar
$\sigma$, isoscalar-vector $\omega$, isovector-scalar $\delta$ and
isovector-vector $\rho$ meson fields up to the quartic order. Three
parametrizations of RMF model are proposed by fitting CREX, PREX-II and both
CREX as well as PREX-II data to assess their implications. A covariance
analysis is performed to assess the theoretical uncertainties of model
parameters and nuclear matter observables along with correlations among them.
The RMF model parametrization obtained with the CREX data acquires much smaller
value of symmetry energy (J= 28.97$\pm$ 0.99 MeV), its slope parameter (L=
30.61$\pm 6.74$ MeV) in comparison to those obtained with PREX-II data. The
neutron star properties are studied by employing the equations of state (EoSs)
composed of nucleons and leptons in $\beta$ equilibrium.
