Thanks everyone for your great comments and Quotes!
Here are some more Quotes I got from http://Quotes.JehovahsWitnesses.com and also from http://www.macgregorministries.org/jehovahs_witnesses/dicwtdocs/newcovenant.html
*** The Watchtower, April 1st 1979 Issue, Page 31 ***
Questions from Readers
Is Jesus the "mediator" only for anointed Christians?
The term "mediator" occurs just six times in the Christian Greek Scriptures and Scripturally is always used regarding a formal covenant.
Moses was the "mediator" of the Law covenant made between God and the nation of Israel. (Gal. 3:19, 20) Christ, though, is the "mediator of a new covenant" between Jehovah and spiritual Israel, the "Israel of God" that will serve as kings and priests in heaven with Jesus. (Heb. 8:6; 9:15; 12:24; Gal. 6:16) At a time when God was selecting those to be taken into that new covenant, the apostle Paul wrote that Christ was the "one mediator between God and men." (1 Tim. 2:5) Reasonably Paul was here using the word "mediator" in the same way he did the other five times, which occurred before the writing of 1 Timothy 2:5, referring to those then being taken into the new covenant for which Christ is "mediator." So in this strict Biblical sense Jesus is the "mediator" only for anointed Christians.
The new covenant will terminate with the glorification of the remnant who are today in that covenant mediated by Christ. The "great crowd" of "other sheep" that is forming today is not in that new covenant. However, by their associating with the "little flock" of those yet in that covenant they come under benefits that flow from that new covenant. During the millennium Jesus Christ will be their king, high priest and judge. For more detailed information, see Aid to Bible Understanding, pages 1129 and 1130 under "Mediator"; also God's "Eternal Purpose" Now Triumphing for Man's Good, page 160, paragraph 10; also The Watchtower issues of February 15, 1966, pages 105 through 123; November 15, 1972, pages 685 and 686, under the subheading "Leading the Way to a New Covenant"; and April 1, 1973, pages 198 and 199, under the subheading "The New Covenant."
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*** The Watchtower, December 15th 1982 Issue, Page 19 ***
"Down to the spring of 1935 the dedicated, baptized witnesses of Jehovah had entertained in true faith the 'one hope' that was set before them in Ephesians 4:4-6, as follows: 'One body there is, and one spirit, even as you were called in the one hope to which you were called; one Lord, one faith, one baptism; one God and Father of all persons.' But in that memorable year of 1935, at the convention held in Washington, D.C., the 'great multitude,' as visualized at Revelation 7:9-17 (Authorized Version), was identified as being composed of the Fine Shepherd's 'other sheep' of John 10:16."
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*** The Watchtower, February 15th 1991 Issue, Pages 15-20 ***
"You Were Bought With a Price"
8 Hence, the ransom sacrifice is fundamental to the new covenant, of which Jesus is the Mediator. Paul wrote: "There is one God, and one mediator between God and men, a man, Christ Jesus, who gave himself a corresponding ransom for all - this is what is to be witnessed to at its own particular times." (1 Timothy 2:5, 6) Those words especially apply to the 144,000, with whom the new covenant is made.
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11 Nevertheless, in a preliminary way, the great crowd have already "washed their robes and made them white in the blood of the Lamb." (Revelation 7:14) Christ does not act as Mediator of the new covenant toward them, yet they benefit from this covenant through the work of God's Kingdom. Christ still acts toward them, however, as High Priest, through whom Jehovah can and does apply the ransom to the extent of their now being declared righteous as God's friends. (Compare James 2:23.) During the Millennium, they will gradually "be set free from enslavement to corruption [until finally they] have the glorious freedom of the children of God."-Romans 8:21.
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*** The Watchtower, February 1st 1998 Issue, Pages 20-22 ***
"The Other Sheep and the New Covenant"
10 "Everyone" who "exercises faith in the Son" will benefit from the ransom sacrifice. (John 3:16, 36) Paul said: "The Christ was offered once for all time to bear the sins of many; and the second time that he appears it will be apart from sin and to those earnestly looking for him for their salvation." (Hebrews 9:28) Today, those earnestly looking for Jesus include surviving anointed Christians of the Israel of God and the millions making up the great crowd, who also have an everlasting inheritance. Both classes thank God for the new covenant and for the life-giving blessings associated with it, including the greater Atonement Day and the ministry of the High Priest, Jesus, in the heavenly Most Holy.
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13 What happens when the last of the 144,000 realize their heavenly hope? Will the new covenant cease to apply? At that time, there will be on earth no remaining member of the Israel of God. All participants in the covenant will be with Jesus "in the kingdom of [his] Father." (Matthew 26:29) But we remember Paul's words in his letter to the Hebrews: "The God of peace . . . brought up from the dead the great shepherd of the sheep with the blood of an everlasting covenant." (Hebrews 13:20; Isaiah 55:3) In what sense is the new covenant everlasting?
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*** The Watchtower, March 15th 1954 Issue, Page 187 ***
"Who may partake of the Lord's evening meal? All sincere Christians? No. Why not? Because the context of the record of Jesus' institution of the Memorial as well as the testimony of other scriptures show that it is limited to those who have the hope of sharing heavenly glory with Jesus Christ, which number the Scriptures show to be limited to 144,000. ... All men of good will, however, are welcome and should come and observe the celebration. How often and when should the Lord's evening meal be celebrated?
Regardless of how often others may profess to do so, there is no Scriptural warrant for doing so more than once a year, even as the Passover, commemorating the deliverance from Egypt, was observed once a year, and that on the night of their deliverance, Nisan 14. Since Jesus instituted his evening meal on the night of Nisan 14, it is but fitting that we continue to celebrate it on the same date."
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*** The Watchtower, April 1st 1960 Issue, Page 199 ***
"The Memorial's unique feature is the passing of the unleavened bread and red wine to all in attendance. But do all in attendance partake of them? No; in fact, in many if not in most instances today no one will partake. Why is that? Because the Scriptures show that Jesus instituted the Memorial of his death with those with whom he had made a covenant for his heavenly kingdom"
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*** The Watchtower, February 15th 1985 Issue, Page 17 ***
"There is only a remnant of such spiritual sons now living, and these are the ones who properly partake of the emblems. This, then, accounts for the vast majority of Jehovah's Witnesses being observers and not partakers."