  We study a model of neutrino and dark matter within the framework of a
minimal extended seesaw. This model is based on $A_4$ flavour symmetry along
with the discrete $Z_3\times Z_4$ symmetry to stabilize the dark matter and
construct desired mass matrices for neutrino mass. Five-zero textures are
imposed in the final $4\times4$ active-sterile mass matrix, which significantly
reduces free parameter in the model. Three right-handed neutrinos were
considered, two of them have nearly degenerate masses which help us to achieve
baryogenesis via resonant leptogenesis. A singlet fermion (sterile neutrino)
with mass $\sim\mathcal{O}$(eV) is also considered, and we are able to put
bounds on active-sterile mixing parameters via neutrino oscillation data.
Resonant enhancement of lepton asymmetry is studied at TeV scale, where we
discuss a few aspects of baryogenesis considering the flavour effects.
Possibility of improvement in effective mass from $0\nu\beta\beta$ in the
presence of a single generation of sterile neutrino flavour is also studied
within the fermion sector. In the scalar sector, the imaginary component of the
complex singlet scalar is behaving as a potential dark matter candidate and
simultaneously the real part of the complex scalar is associated with the
fermion sector for sterile mass generation. A broad region of dark matter mass
is analyzed from various annihilation processes, and the VEV of the complex
scalar plays a pivotal role to achieve the observed relic density at the right
ballpark.
