What does it mean, that God will give [these] peoples rest?

I was tempted to ask you to quote the Hebrew of verse 4.  However, I suspect that would only lead us to a specific ambiguity, or else the differences in translation would not have been available (NAB:  my judgment [shall go forth] as the light of the peoples; Artscroll: My judgement will be a light for peoples).

Who populate the islands that will hope in God?

P.

“What I admire is honesty and truth, no matter who, or what, the sources are.”
— Uri Yosef