can possibly cause the flavor problem at the weak scale. For the Higgs-messenger mixing, $A/m^2$ problem[@Kang:2012ra; @Craig:2012xp] which is analogous to $\mu/B\mu$ problem can arise and the electroweak symmetry breaking is difficult to achieve if the mixing coupling is large. General gauge mediation [@Buican:2008ws] can avoid this problem by using the mechanism of radiatively generated maximal stop mixing [@Dermisek:2006ey; @Dermisek:2006qj].

In this paper we consider the right-handed neutrino supermultiplets as the messengers of supersymmetry breaking in addition to the messengers charged under the Standard Model (SM) gauge group, e.g. ${\bf 5}$ and ${\bf \bar{5}}$ of $SU(5)$. The setup is motivated from [@Choi:2011rs] which provides a solution to $\mu$ problem in gauge mediation (more precisely $\mu/B\mu$ problem) [@Dvali:1996cu; @Giudice:2007ca]. For the solution in [@Choi:2011rs] to work, the messenger scale should be higher than the Peccei-Quinn breaking scale, $10^9 \sim 10^{11}$ GeV. For the gauge mediation to be the dominant contribution compared to the Planck suppressed higher dimensional contribution, the messenger scale should be lower than $10^{15}$ GeV. Therefore, the See-Saw scale with order one neutrino Dirac Yukawa couplings, $10^{13} \sim 10^{14}$ GeV, is well motivated as the messenger scale if we accept [@Choi:2011rs] as a solution of the $\mu$ problem in 