  The scalar-leptoquark (sLQ) parameter space is well explored experimentally.
The direct pair production searches at the LHC have excluded light sLQs almost
model agnostically, and the high-$p_{\rm T}$ dilepton tail data have put strong
bounds on the leptoquark-quark-lepton Yukawa couplings for a wide range of sLQ
masses. However, these do not show the complete picture. Previously, Mandal
\emph{et al.} [Single productions of colored particles at the LHC: An example
with scalar leptoquarks, \href{https://doi.org/10.1007/JHEP07(2015)028}{J. High
Energy Phys. 07 (2015) 028}] showed how the dilepton-dijet data from the pair
production searches could give strong limits on these couplings. This was
possible by including the single-production contribution to the dilepton-dijet
signal. In this paper, we take a fresh look at the LHC limits on all sLQs by
following the same principle and combine all significant contributions -- from
pair and single productions, $t$-channel sLQ exchange and its interference with
the Standard Model background -- to the $\mu\mu jj$ final state and recast the
limits. We notice that the sLQ exchange and its interference with the
background processes play significant roles in the limits. The $\mu\mu
jj$-recast limits are comparable to or, in some cases, significantly better
than the currently known limits (from high-$p_{\rm T}$ dilepton data and direct
searches), i.e., the LHC data rules out more parameter space than what is
considered in the current literature. For the first time, we also show how
including the QED processes can noticeably improve the sLQ mass exclusion
limits from the QCD-only limits.
