We consider a lattice Hamiltonian with off-diagonal disorder in dimension 1. For this model, it is well known that the weak limit of a local level statistic near a positive energy in the localized regime is a Poisson point process. In this talk, we would like to show more that if we consider local level statistics near $n$ positive, distinct energies in the localized regime for any $n \geq 2$, they converge weakly to $n$ independent Poisson point processes. The key point in proving that kind of result is decorrelation estimates for the eigenvalues near two distinct energies in the localized regime.