1)
What Brachah did Melech Ashur want?
1.
Rashi, Targum Yonasan: He wanted a greeting of Shalom. This is like "va'Yvarech Yakov Es Pharaoh" (Bereishis 47:7).
2.
Rashi (Yeshayah 36:16): Come to greet me with Shalom, bless me, and give to me a gift of (for the sake of) Shalom.
2)
Must they come out to Melech Ashur in order to drink water from their pits?
1.
Radak: Yes. The verse discusses pits outside the city.