The disciples were of Judah and then Paul was from the tribe of Benjamin. Romans 11:1 Paul tells specifically that he is an Israelite from the tribe of Benjamin. One would then need to go to Genesis to learn about Benjamin and what his generations were promised. Genesis 49: lists these 12 and each one is given their inheritance from Jacob/Israel. Interesting reading about what would be for each of these tribes.
Christ knew very well what he was saying when he told these disciples to go but to the 'lost' sheep of the House of Israel, and if one follows the footsteps of Christianity one can also see where those ten tribes ended up. We are told that the 'truth' will set you free and so it is that Christianity represents freedom and who are the free nations of this globe.
It is a sign of the times wherein even those free peoples start dabbling in systems of bondage wherein the state becomes the all knowing all powerful god.
OK, so assume we are looking for biblical answers. What do you have to offer?
The promises given to Abraham and where they have become fulfilled. There were requirements given to receive the blessings and there are the curses given IF the peoples turned their backs. Can be at the individual level or a national level. Deuteronomy 31:16 And the LORD said unto Moses.... (remember how important Moses was even to Christ as he with Elijah was shown upon that mount of transfiguration?) "Behold, thou shalt sleep with thy fathers; and this people will rise up, and go a whoring after the gods of the strangers of the land, whiter they go to be among them, and will forsake Me, and break My covenant which I have made with them.
17 Then My anger shall be kindled against them in *that day*, and I will forsake them, and I will hid My face from them, and they shall be devoured, and many evils and troubles shall befall them; (ever read about Jacob's trouble? Jeremiah 30 whole chapter as both houses are addressed and specifically in verse 7 Alas! for *that day* is great, so that none is like it: it is even the time of Jacob's trouble; *BUT HE SHALL BE SAVED OUT OF IT. Note that word saved... salvation... meaning Christians.) back to Deuteronomy 31:17 'Are not these evils come upon us, because our God is not among us?' I have heard preachers of various denominations utter these very words.
18 And I will surely hide My face in *that day* for all the evils which they shall have wrought, in that they are turned unto other gods.
19 Now therefore write ye this song for you, and teach it the children of Israel: put it in their mouths, that this song may be a witness for Me against the children of Israel.
20 For when I shall have brought them into the land which I sware unto their fathers, that floweth with milk and honey; and thy shall have eaten and filled themselves, and waxen fat; then will they turn unto other gods, and serve them, and provoke Me, and break My covenant.
21 And it shall come to pass, when many evils and troubles are befallen them, that this song shall testify against them as a witness; for it shall not be forgotten out of the mouths of their seed: for I know their imagination which they go about, even now, before I have brought them into the land which I sware."
Point of quoting this is what Paul says in I Corinthians 10:11 Now all these things happened unto them for ensamples (examples): and they are written for our admonition, upon whom the ends of the world (age) are come.
The script has been written as is what Christ meant when He said I have foretold you all things. Solomon put it like this in Ecclesiastes 1:9 The thing that hath been, it is that which shall be; and that which is done is that which shall be done: and there is no new thing under the sun.
We have the script of what will be, recorded as what already has been and the rapture doctrine is not in the script as to what followers of Christ are to expect to occur.
Are you talking about The Twelve? Where does the Bible teach this? I cant seem to find anywhere where any of the apostles tribal affiliation is mentioned (except Paul). Since at least some of the apostles were from the region around Galilee ("of the Gentiles", cf. Mark 1:16), it unlikely there were all from Judah.
Its pretty clear just from reading the NT (and the OT as well) that the word "Israel" often means more than just the northern tribes. You apparently dont have a position on that truth. The entire nation was often referred to as "the house of Israel" (Ex. 16:31). This was the common usage at the time of Christ. When speaking to the woman of Canaan, Jesus told her, But He answered and said, "I was not sent except to the lost sheep of the house of Israel." (Matt. 15:24). Jesus was ministering first to His Jewish brethren ("the house of Israel"), from which He called the Twelve and others, and not primarily to the surrounding gentile communities.
As much as I would like to engage you on this matter, serious discussion is difficult with this sort of defective starting point on your part.