  In this paper, we have investigated the holographic entanglement entropy for
a linear subsystem in a $3+1$-dimensional Lifshitz black hole. The entanglement
entropy has been analysed in both the infra-red and ultra-violet limits, and
has also been computed in the near horizon approximation. The notion of a
generalized temperature in terms of the renormalized entanglement entropy has
been introduced. This also leads to a generalized thermodynamics like law
$E=T_g S_{REE}$. The generalized temperature has been defined in such a way
that it reduces to the Hawking temperature in the infra-red limit. We have then
computed the holographic subregion complexity. Then the Fisher information
metric and the fidelity susceptibility for the same linear subsystem have also
been computed using the bulk dual prescriptions. It has been observed that the
two metrics are not related to each other.
