Here is an excerpt from
Encyclical of the Eastern Patriarchs, 1848
A Reply to the Epistle of Pope Pius IX, "to the Easterns"
This should give some Orthodox rebuttals to your positions regarding the papacy:
For all this we have esteemed it our paternal and brotherly need, and a sacred duty, by our present admonition to confirm you in the Orthodoxy you hold from your forefathers, and at the same time point out the emptiness of the syllogisms of the Bishop of Rome, of which he is manifestly himself aware. For not from his Apostolic Confession does he glorify his Throne, but from his Apostolic Throne seeks to establish his dignity, and from his dignity, his Confession. The truth is the other way. The Throne of Rome is esteemed that of St. Peter by a single tradition, but not from Holy Scripture, where the claim is in favor of Antioch, whose Church is therefore witnessed by the great Basil (Ep. 48 Athan.) to be "the most venerable of all the Churches in the world." Still more, the second Ecumenical Council, writing to a Council of the West (to the most honorable and religious brethren and fellow-servants, Damasus, Ambrose, Britto, Valerian, and others), witnesseth, saying: "The oldest and truly Apostolic Church of Antioch, in Syria, where first the honored name of Christians was used." We say then that the Apostolic Church of Antioch had no right of exemption from being judged according to divine Scripture and synodical declarations, though truly venerated for the throne of St. Peter. But what do we say? The blessed Peter, even in his own person, was judged before all for the truth of the Gospel, and, as Scripture declares, was found blamable and not walking uprightly. What opinion is to be formed of those who glory and pride themselves solely in the possession of his Throne, so great in their eyes? Nay, the sublime Basil the great, the Ecumenical teacher of Orthodoxy in the Catholic Church, to whom the Bishops of Rome are obliged to refer us (p. 8, 1.31), has clearly and explicitly above ( 7) shown us what estimation we ought to have of the judgments of the inaccessible Vatican:—"They neither," he says, "know the truth, nor endure to learn it, striving against those who tell them the truth, and strengthening themselves in their heresy." So that these our holy Fathers whom his Holiness the Pope, worthily admiring as lights and teachers even of the West, accounts as belonging to us, and advises us (p. 8) to follow, teach us not to judge Orthodoxy from the holy Throne, but the Throne itself and him that is on the Throne by the sacred Scriptures, by Synodical decrees and limitations, and by the Faith which has been preached, even the Orthodoxy of continuous teaching. Thus did our Fathers judge and condemn Honorius, Pope of Rome, and Dioscorus, Pope of Alexandria, and Macedonius and Nestorius, Patriarchs of Constantinople, and Peter Gnapheus, Patriarch of Antioch, with others. For if the
abomination of desolation stood in the Holy Place, why not innovation and heresy upon a holy Throne? Hence is exhibited in a brief compass the weakness and feebleness of the efforts in behalf of the despotism of the Pope of Rome. For, unless the Church of Christ was founded upon the immovable rock of St. Peter’s Confession,
Thou art the Christ,
the Son of the Living God (which was the answer of the Apostles in common, when the question was put to them,
Whom say ye that I am? (Matt. xvi. 15,) as the Fathers, both Eastern and Western, interpret the passage to us), the Church was built upon a slippery foundation, even on Cephas himself, not to say on the Pope, who, after monopolizing the Keys of the Kingdom of Heaven, has made such an administration of them as is plain from history. But our divine Fathers, with one accord, teach that the sense of the thrice-repeated command,
Feed my sheep, implied no prerogative in St. Peter over the other Apostles, least of all in his successors. It was a simple restoration to his Apostleship, from which he had fallen by his thrice-repeated denial. St. Peter himself appears to have understood the intention of the thrice-repeated question of our Lord:
Lovest thou Me, and
more, and
than these?. (John xxi. 16

for, calling to mind the words,
Thou all shall be offended because of Thee, yet will 1 never be offended (Matt. xxvi. 33), he
was grieved because He said unto him the third time, Lovest thou Me? But his successors, from self-interest, understand the expression as indicative of St. Peter's more ready mind.
12. His Holiness the Pope says (p. viii. 1.12.) that our LORD said to Peter (Luke xxii. 32)
, I have prayed for thee, that thy faith fail not: and when thou art converted, strengthen thy brethren. Our LORD so prayed because Satan had sought to overthrow the faith of all the disciples, but the LORD allowed him Peter only, chiefly because he had uttered words of boasting, and justified himself above the rest (Matt. xxvi. 33)
: Though all shall be offended, because of thee, yet will I never be offended. The permission to Satan was but temporary.
He began to curse and to swear: I know not the man. Soweak is human nature, left to itself.
The spirit is willing, but the flesh is weak. It was but temporary, that, coming again to himself by his return in tears of repentance, he might the rather strengthen his brethren who had neither perjured themselves nor denied. Oh! the wise judgment of the LORD! How divine and mysterious was the last night of our Savior upon earth! That sacred Supper is believed to be consecrated to this day in every Church:
This do in remembrance of me (Luke xxii. 19), and
As often as ye eat this bread and drink this cup, ye do show the LORD's death till he come (1 Cor. xi. 26). Of the brotherly love thus earnest1y commended to us by the common Master, saying,
By this shall all men know that ye are my disciple, if ye have love one to another (John xiii. 35), have the Popes first broken the stamp and seal, supporting and receiving heretical novelties, contrary to the things delivered to us and canonically confirmed by our Teachers and Fathers in common. This love acts at this day with power in the souls of Christian people, and particularly in their leaders. We boldly avow before God and men, that the prayer of our Savior (p. ix. l.43) to God and His Father for the common love and unity of Christians in the One Holy Catholic and Apostolic Church, in which we believe,
that they may be one, ever as we are one (John xvii. 22), worketh in us no less than in his Holiness. Our brotherly love and zeal meet that of his Holiness, with only this difference, that in us it worketh for the covenanted preservation of the pure, undefiled, divine, spotless, and perfect Creed of the Christian Faith, in conformity to the voice of the Gospel and the decrees of the seven holy Ecumenical Synods and the teachings of the ever-existing Catholic Church: but worketh in his Holiness to prop and strengthen the authority and dignity of them that sit on the Apostolic Throne, and their new doctrine. Behold then, the head and front, so to speak, of all the differences and disagreements that have happened between us and them, and the middle wall of partition, which we hope will be taken away in the time of is Holiness, and by the aid of his renowned wisdom, according to the promise of God (St. John x. 16)
: "Other sheep I have which are not of this fold: them also 1 must bring and they shall hear my voice (
Who proceedeth from the Father ")
. Let it be said then, in the third place, that if it be supposed, according to the words of his Holiness, that this prayer of our LORD for Peter when about to deny and perjure himself, remained attached and united to the Throne of Peter, and is transmitted with power to those who from time to time sit upon it, although, as has before been said, nothing contributes to confirm the opinion (as we are strikingly assured from the example of the blessed Peter himself, even after the descent of the Holy Ghost, yet are we convinced from the words of our LORD, that the time will come when that divine prayer concerning the denial of Peter, "that his faith might not fail for ever" will operate also in some one of the successors of his Throne, who will also weep, as he did, bitterly, and being sometime converted will strengthen us, his brethren, still more in the Orthodox Confession, which we hold from our forefathers;—and would that his Holiness might be this true successor of the blessed Peter! To this our humble prayer, what hinders that we should add our sincere and hearty Counsel in the name of the Holy Catholic Church? We dare not say, as does his Holiness (p. x. 1.22), that it should be done "without any delay;" but without haste, utter mature consideration, and also, if need be, after consultation with the more wise, religious, truth-loving, and prudent of the Bishops, Theologians, and Doctors, to be found at the present day, by God's good Providence, in every nation of the West.
There is more, but I can't post a link as of yet.