Here "hand" is a metonym for power or control. This can be translated in active form. AT: "Yahweh has given it to the Chaldeans" or "Yahweh has given the Chaldeans power over it" (See: [[rc://en/ta/man/translate/figs-metonymy]] and [[rc://en/ta/man/translate/figs-activepassive]])
"I will cause things to go well for them again" or "I will cause them to live well again." See how similar words are translated in [Jeremiah 29:14](../29/12.md).
Yahweh speaks of himself by name to express the certainty of what he is declaring. See how you translated this in [Jeremiah 1:8](../01/07.md). AT: "this is what Yahweh has declared" or "this is what I, Yahweh, have declared" (See: [[rc://en/ta/man/translate/figs-123person]])