1)
Why did she now request permission to speak to the king?
1.
Radak: After she received her request, she wanted to hint to him, so he will understand that she came due to Avshalom. Malbim - this is a different matter; she must ask permission for it.
2.
Kli Yakar: Until now, I spoke about myself. Now I want to speak ?l ha'Melech" - about you!