1)
How did Eliezer know Rivkah's name?
1.
Ramban: Either he heard her name mentioned by the family, or he asked her, even though the Pasuk does not record that he did.
2)
Why does it say "l'Daber El Libi" only here, but not as the story happened?
1.
Ohr ha'Chayim, Ha'amek Davar: He told them that he prayed silently, lest they say that Rivkah heard him, and therefore she did what he prayed for.
