1)
Why did she say that Hashem put Shlomo on His throne?
1.
Malbim: In Melachim I, 10:9 it says Kisei Yisrael. Ezra explained here that this is Kisei Hashem, and Yisrael's king is attributed to Hashem.
2)
What is the connection between choosing Shlomo and love of Yisrael?
1.
Refer to Melachim I, 10:9:1:1.
