I would say that #1 is almost self evidently true (I mean, obviously it's not because so many people disagree).

It seems obvious to me that there is no moral reason that some people should only be allowed to live in certain places.

Regardless if you find all bad luck immoral it just isn’t practical for every country to support every person. It’s immoral to have borders in the same way it’s immoral everyone doesn’t have a private driver, a personal chef, and a mansion.