1)
Why does it say that Hashem's Chesed fills the world?
1.
Radak: All creations exist in the Chesed that You do with them.
2.
Malbim: According to land being full of Chasidim of people of good deeds, You increase influence of Chesed.
2)
How does "Chukecha Lamedeni" connect to the beginning of the verse?
1.
Radak: The Chesed that You do with me is to give to me a heart to understand Your Chukim.
2.
Malbim: In this merit (increased influence of Chesed due to the many Chasidim), I ask You to teach to me reasons for the Chukim.