  In this paper, we focus on the supersymmetric model with left-right (LR)
symmetry, that is especially proposed in our previous work [1]. In this model,
there are four Higgs doublets in order to realize the Standard Model (SM)
fermion masses and the Cabibbo-Kobayashi-Maskawa matrix. The heavy Higgs
doublets unavoidably have flavor changing couplings to the SM fermions and
induce flavor-changing neutral currents at tree level. We study broader
parameter space than the previous work with including the renormalization group
corrections to the Yukawa couplings between the LR breaking scale,
$\mathcal{O}(10^{13})$ GeV, and the supersymmetry breaking scales,
$\mathcal{O}(100)$ TeV. The CP violating observable in $K$-$\overline{K}$
mixing, $\epsilon_K$, strongly constrains the model, so that heavy Higgs mass
should be heavier than $\mathcal{O}(100)$ TeV. We study the lepton flavor
violating (LFV) processes setting heavy Higgs masses to be 170 TeV. The
branching ratios of $\mu \to 3 e$ and the $\mu$-$e$ conversion can be larger
than $10^{-16}$ that could be covered by the future experiments. We also study
the degree of fine-tuning in the parameter region that predicts testable LFV
processes.
