  In this work we show that, by introducing two $SU(3)_{c}\times SU(2)_{L}$
singlet right handed fermions carrying opposite $U(1)_{Y}$ charges and while
their left handed counterparts are singlet under $SU(3)_{c}\times SU(2)_{L}$
and neutral under $U(1)_{Y}$, in the regime where the new charged lepton masses
are in the electroweak scale it will be able to explain the small neutrino
masses via minimum-inverse seesaw scenario (MISS) as well as the reported
$R(K^{(*)})$ and muon $(g-2)$ discrepancies. Also when the charged fermion
masses are well above the electro weak scale the model can not explain the
reported $R(K^{(*)})$ and muon $(g-2)$ discrepancies, but in this regime the
model could explain the primordial Lithium problem. The model have another
interesting extension where it can produce a stable and singlet under strong
interaction scalar baryon that could constitute much of the dark matter mass of
the universe which lead to a simple model where ordinary matter and dark-matter
having same origin. The model can also provide new annihilation channels for
the scalar singlet DM as well as allowing a doubly charged scalar whose
signatures could show up in HL-LHC, ILC, CEPC etc.
