Judah Sceptre introductory

Judah and Israel were not the same people. God divorced Israel and not Judah. One tribe is not many

Jeremiah 3:8 - And I saw, when for all the causes whereby backsliding Israel committed adultery I had put her away, and given her a bill of DIVORCE; yet her treacherous sister Judah feared not, but went and played the harlot also.

The Lord DIVORCED ISRAEL

Israel and judah had wars and different kings as well as different capitols. Jerusalem capitol of Judah.
Samaria capitol of Israel.

2 Kings 8:16 ...Joram the son of Ahab KING of ISRAEL, Jehoshaphat being then KING of JUDAH, ...

1 Kings 21:1 ....had a vineyard, which was in Jezreel, hard by the PALACE of Ahab KING of SAMARIA.

Jeremiah 31:31 Behold, the days come, saith the LORD, that I will make a new covenant with the house of Israel, and with the house of Judah:

this verse says a new covenant with both Israel AND Judah. So how can they be the same?

Hosea 1:10 Yet the number of the children of Israel shall be as the sand of the sea, which cannot be measured nor numbered; and it shall come to pass, that in the place where it was said unto them, Ye are not my people, there it shall be said unto them, Ye are the sons of the living God.

Romans 9:26 And it shall come to pass, that in the place where it was said unto them, Ye are not my my people; there shall they be called the children of the living God.

Galatians 3:29. - And if ye be Christ's, then ARE ye Abraham's seed, and heirs according to the promise.