Logically I would say yes he should. he chased after the robbers and made a meditated/conscious (and very emotional) decision to chase the robbers, shoot and kill one. if it was done in the home I would say no. You have to look and see how other Judicial Laws read about similar cases and their outcomes. His best bet would be to get in front of a Jury get the jury to acquit on the emotions of just being robbed at gun point.

similar case happened in MA couple years ago and the person who went after the suspect/robber and shot him down is now in jail.