  The effect of inverse magnetic catalysis (IMC) has been observed on the
conserved charge fluctuations and the correlations along the chemical
freeze-out curve in a hadron resonance gas model. The fluctuations and the
correlations have been compared with and without charge conservations. The
charge conservation plays an important role in the calculation of the
fluctuations at nonzero magnetic field and for the fluctuations in the strange
charge at zero magnetic field. The charge conservation diminishes the
correlations $\chi_{BS}$ and $\chi_{QB}$, but enhances the correlation
$\chi_{QS}$. The baryonic fluctuations (2nd order) at $B = 0.25$ ${GeV}^2$
increases more than two times compared to $B = 0$ at higher $\mu_{B}$. The
fluctuations have been compared at nonzero magnetic field along the freeze-out
curve i.e along fitted parameters of the chemical freeze-out temperature and
chemical potentials, with the fluctuations at nonzero magnetic field along the
freeze-out curve with the IMC effect, and the results are very different with
the IMC effect. This is clearly seen in the products of different moments
${{\sigma}^2}/{M}$ and $S\sigma$ of net-kaon distribution.
