Hezekiah's Minister Eliakim was High Priest and he also points to Saint Peter



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We first encounter Eliakim son of Hilkiah in Isaiah 22, in what is regarded as the prophet’s ‘second oracle’ against the official, Sobna (or Shebna). Isaiah predicted that Sobna will be replaced by Eliakim. I showed in the previous chapter that this took effect during Sennacherib’s Third Campaign invasion, since Eliakim was by then the king’s chief minister. Sobna was now only second in command.

But the vital question here is: What was Sobna’s former office, to which Eliakim had now succeeded? It is usually given as Major-domo or its equivalent; but the Douay Isaiah 22:15 translates it in terms that could only be referring to the high priesthood. Thus Isaiah is commanded: ‘Go … to him that dwelleth in the tabernacle, to Sobna [Shebna] who is over the Temple ...’. The Latin Vulgate gives the words italicized here as ‘eum qui habitat in tabernaculo’.

Moreover, Isaiah describes and praises Eliakim in words that indicate, not only the man’s great authority, but that could also be taken as a description of a high priest: “He shall be as a father …, to the inhabitants of Jerusalem and to the House of Judah” (v. 21). Strong words when it is considered that Hezekiah himself ruled over the House of Judah; but an appropriate title for a high priest who was, in a sense, ruler over even the king whom he would proclaim and anoint (cf. 1 Samuel 16:13).

And in Eliakim’s case, with his having had to substitute for the king whilst Hezekiah was sick, the title, ‘father’ … would take on an even more significant meaning.

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For more, see: http://kinghezekiahofjudah2.blogspot.com.au/2009/01/chapter-2-thesis-revised-history-of-era.html#uds-search-results

The following is taken from:
http://www.catholic.com/quickquestions/dont-revelation-37-and-isaiah-22-point-to-christ-not-peter-as-having-the-keys-of-davi

Don't Revelation 3:7 and Isaiah 22 point to Christ - not Peter - as having the keys of David?

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Full Question

Revelation 3:7 proves Christ is the one who holds the key of David, not Peter. Isaiah 22 prophesies Christ's coming and his authority rather than Peter's. Matthew 16:18 has nothing to do with either.

Answer

As the royal son of David, Christ is the owner of the key of David, but this doesn't mean he can't give to Peter, as his "prime minister," the keys to his heavenly kingdom.
In the passage to which Revelation 3:7 alludes, Isaiah 22:20-23, Eliakim is made master of the palace, a post roughly equivalent to prime minister. As the king's right-hand man, the master of the palace is given the "key of the House of David."
Keys symbolize authority, so bestowing the key to the House of David upon Eliakim is equivalent to giving him, as the king's duly appointed representative, authority over the kingdom.
Revelation 3:7 speaks of Jesus as the "holder of the key of David." Some argue this means he fulfills the role Eliakim foreshadowed in Isaiah 22:20-23. They claim this excludes a prophetic application of this text to Peter by Christ in Matthew 16:18-19.
There's a problem with this argument. In Isaiah 22 Eliakim is master of the palace--the king isn't. Eliakim possesses the key of the kingdom not as its owner, but as one deputed to oversee the king's affairs. If we apply this to Christ, then we must conclude he's not the true messianic king, merely his prime minister, the Messiah's chief representative!
Although Jesus is called the "holder of the key of David" in Revelation 3:7, he doesn't hold it as Eliakim did. As the son of David, Jesus is the heir to the throne of his ancestor (Lk 1:32-33). He really is the king, not the master of the king's palace, as was Eliakim. As king, Jesus is free to bestow the keys of his kingdom on whomever he wishes--without losing the authority those keys represent.
It's the Catholic position that this is precisely what Jesus does in Matthew 16:18-19. Peter identifies Jesus as the Messiah, which means, among other things, acknowledging his kingship. Christ then shows his kingly authority by bestowing on Peter something only the king could give--the keys of the kingdom of heaven--thus making Peter the messianic equivalent of Eliakim.