We consider the Dirichlet problem of all energy sub-critical focusing nonlinear Schrödinger equation on exterior domains in dimension three. We show that the solution is global well-posed and scatters. We also prove the non-squeezing properties of all mass subcritical Hartree equations on dimension higher than one. The second result is obtained by elaborating and generalizing some of the techniques by Killip-Visan-Zhang. Two major ingredients are the weak well-posedness and approximation result.