We investigate a variant of the left-right symmetric model based on the $SU(3{)}_{C}\ensuremath{\bigotimes}SU(2{)}_{L}\ensuremath{\bigotimes}U(1{)}_{L}\ensuremath{\bigotimes}SU(2{)}_{R}\ensuremath{\bigotimes}U(1{)}_{R}$ gauge group (32121). Spontaneously breaking of 32121 down to the Standard Model (SM) gauge group requires a bidoublet under $SU(2{)}_{L}\ensuremath{\bigotimes}SU(2{)}_{R}$, a right-handed doublet scalar under $SU(2{)}_{R}$, along with a $SU(2)$ singlet scalar boson. Symmetry breaking leads to several neutral and charged massive gauge bosons apart from the SM $W$ and $Z$. The Large Hadron Collider (LHC) results for the search of heavy gauge bosons can be used to constrain the vacuum expectation values responsible for giving masses to these extra heavy gauge bosons. The physical spectrum of the scalar bosons contains several neutral $CP$-even and $CP$-odd states and a couple of charged scalars apart from the SM-like Higgs boson. We have put constraints on the masses of some of these scalars from the existing LHC data. The possible decay rates and production cross sections of these scalars have been investigated in some detail. Production cross sections for some of the scalars look promising at the 14 and 27 TeV runs of the LHC with the high luminosity option. We keep, in our model, all the fermions present in the 27-dimensional fundamental representation of ${E}_{6}$. Mass limit of one such exotic lepton has also been derived from present LHC data. It is noted that some of these neutral exotic lepton or neutral scalar bosons of this model can serve the purpose of cold dark matter.