  We discuss new physics (NP) contributions to kaon mixing parameter
$\varepsilon_K$, direct CP violation parameter $\varepsilon^\prime/\varepsilon$
of $K\to \pi\pi$, and rare decays $K^+\to \pi^+\nu\bar\nu$, $K_L\to
\pi^0\nu\bar\nu$ and $K_{L, S}\to \mu^+ \mu^- $ in the context of general two
Higgs doublet model. We focus on contributions of top quark related exotic
couplings, and show that simultaneous presence of flavor conserving and flavor
violating interactions can lead to large NP effects in kaon sector, while being
consistent with the stringent constraints from B physics observables such as
$B_{s(d)}$-$\bar B_{s(d)}$ mixing, $B_s\to \mu^+ \mu^-$, and $b\to s\gamma$. We
stress on the importance of correlations between $\varepsilon_K$, $K^+\to
\pi^+\nu\bar\nu$ and $B_s\to \mu^+ \mu^-$ that can be exploited to distinguish
the parameter space corresponding to a light (sub-TeV) or heavy (TeV) scale
charged Higgs boson.
