The Kingdom of Heaven and the Kingdom of God

What if anything does Paul, Jude, John and Peter tell us about John the Baptist's witness?

Acts 19:1-7 It came to pass, that, while Apollos* was at Corinth, Paul having passed through the upper coasts came to Ephesus: and finding certain disciples, he said to them, Have you received the Holy Ghost since you believed? They answered him, We have not so much as heard whether there be any Holy Ghost. Paul said to them, Unto what then were you baptized? They answered, To John's baptism. To this Paul replied, John verily baptized with the baptism of repentance, saying to the people, that they should believe Him which should come after him, that is, Christ Jesus. When they heard this, they were baptized in the name of the Lord Jesus. When Paul laid hands upon them, the Holy Ghost came into them; and they spoke with tongues, and prophesied. All the men were about twelve.

Ephesians 1:6-12 To the praise of the glory of His Grace, wherein He has made us accepted in the beloved. In Whom we have redemption through His blood, the forgiveness of sins, according to the riches of His Grace; Wherein He has abounded toward us in all wisdom and prudence; Having made known to us the mystery of His Will (equal to Law and Word), according to His good pleasure which He has purposed in Himself: That in the dispensation (administration) of the fullness (completion) of times (the predetermine period of crisis as events set by God) He might gather together in one all things in Christ, both which are in heaven, and which are on earth; in Him: In Whom also we have obtained an (our) inheritance, being predestinated according to the purpose of Him who works all things after the counsel of His own Will: That we should be to the praise of His glory, who first trusted Christ. (parallel passage Colossians 1:19-20) 

Colossians 1:3-8, 9-17, 18-20, 21-23, 24-2:5 I give thanks to God and the Father of our Lord Jesus Christ, praying always for you, since I heard of your faith in Christ Jesus, and of the love which you have to all the saints, for the hope which is laid up for you in heaven, whereof you heard before in the word of the truth of the gospel; Which is come to you, as in all the world; and brings forth fruit, as He does also in you, since the day you heard and knew the grace of God in truth: As you also learned of Epaphras our dear fellow-servant, who is for you a faithful minister of Christ; Who also declared to us your love in the Spirit.

For this cause I also, since the day I heard, do not cease to pray for you, and to desire that you might be filled with the knowledge of His Will in all wisdom and spiritual understanding; That you might walk worthy of the Lord to all pleasing, being fruitful in every good work, and increasing in the knowledge of God; Strengthened with all might, according to His glorious power, to all patience and longsuffering with joyfulness; Giving thanks to the Father, who has made us meet (fit) to be partakers of the inheritance of the saints in light: Who has delivered us from the power of darkness, and has translated us into the kingdom of His dear Son: In Whom we have redemption through His blood, the forgiveness (cancellation) of sins (debt): Who is the image of the invisible God, the firstborn of every creature: For by Him were all things created, that are in heaven, and that are in earth, visible and invisible, whether there be thrones, or dominions, or principalities, or powers: all things were created by Him, and for Him: He is before all things, and by Him all things consist.

And He is the head of the body, the church: who is the beginning, the firstborn from the dead; that in all things He might have the preeminence. For it pleased the Father that in Him should all fullness dwell; And, having made peace through the blood of His cross, by Him to reconcile all things to Himself; by Him, I say, whether they be things in earth, or things in heaven. 

And you, that were sometime alienated and enemies in your mind by wicked works, yet now has He reconciled In the body of His flesh through death, to present you holy and unblameable and unreproveable in His sight: If you continue in the faith grounded and settled, and not moved away from the hope of the gospel, which you have heard, which was preached to every creature which is under heaven; whereof I Paul am made a minister (servant and steward); Who now rejoice in my sufferings for you, and fill up that which is behind of the afflictions of Christ in my flesh for His body's sake, which is the church: Whereof I am made a minister, according to the dispensation (stewardship and administration, Romans 15:15-18, Galatians 2:7-8) of God which is given to me for you, to fulfill the word of God (2Timothy 4:2-5); The mystery which had been hid from ages and from generations, but now is made manifest to His saints: To whom God would make known what is the riches of the glory of this mystery among the Gentiles; which is Christ in you, the hope of glory: Whom we preach, warning every man, and teaching every man in all wisdom; that we may present every man perfect in Christ Jesus: Whereto I also labor, striving according to His working, which works in me mightily. For I would that you knew what great conflict I have for you, and them at Laodicea, and as many as have not seen my face in the flesh; That their hearts might be comforted, being knit together in love, to all riches of the full assurance of understanding, to the acknowledgment of the mystery of God, and of the Father, and of Christ; In Whom are hid all the treasures of wisdom and knowledge. And this I say, lest any man should beguile you with enticing words. For though I be absent in the flesh, yet am I with you in the spirit, joying and beholding your order, and the steadfastness of your faith in Christ.

*Who was this person called Apollos in Acts 19 quoted above?