"that breathes." This phrase emphasizes that these animals had a different kind of life than the plants. Plants do not breathe, and were to be used as food for the animals. Here "life" means physical life.
"It happened like that" or "That is what happened." What God commanded happened just as he said it should. This phrase appears throughout the chapter and has the same meaning. See how you translated it in [Genesis 1:7](../01/07.md).