These contain the accounts of his building operations and military campaigns. He mentions kings of Judah, Ammon, Moab, Askelon, Edom, Gaza, Tyre. These are almost exactly the same nations that Amos prophesied against (Amos ch 1-2): Damascus, Gaza, Askelon, Tyre, Edom, Ammon, Moab, Judah, which were fulfilled in the invasions of Tiglath-pileser III
This tablet also records Tiglath-pileser receiving tribute from Judah and taking some of the northern kingdom of Israel into exile. He also records that Pekah was overthrown and he placed Hoshea on the throne of Israel, "I received the tribute of Jehoahaz (Ahaz) of Judah. Israel and all its inhabitants and their possessions I led to Assyria. They overthrew their king Pekah and I placed Hoshea as king over them. I received from them ten talents of gold, 1000 talents of silver as their tribute and brought them to Assyria."
This is the same event as recorded in the Bible
In the days of king Pekah of Israel, King Tiglath-pileser of Assyria came and captured Ijon, Abel-beth-maacah, Janoah, Kedesh, Hazor, Gilead and Galilee, all the land of Naphtali, and he carried the people captive to Assyria. Then Hoshea son of Elah made a conspiracy against Pekah son of Remaliah, attacked him, and killed him; he reigned in place of him ... (2 Kg 15:29-30).
Assyrian Treaties, Weapons and Armour
These are suzerainty treaties made between Assyria and other nations. They are far more cruel than the earlier treaties made by the Hittites (similar to Deuteronomy). Ones here are treaties with Babylon and Syria.
This room also has examples of Assyrian armour - as would have been used in the attacks of Israel.