How do the first two sentence of Hezekiak's prayer correspond to the first sentence of the lord's prayer?
This correspond to the opening of the lord prayer's......."Our Father, who art in heaven, hallowed be thy name." Hezekiah reconizes who Yahweh really is and how He actually exist.
How are they important to Faith?
"You have made heaven and earth." There is no limitation to Yahweh"s power.
How are they important to God answering the prayer?
When Yahweh see that our Faith is in Him and Him along, He answere our prayers.