Not quite. He is usually seen as a Bodhisattva, not as a Buddha. The fact that He returned from the dead indicates that He was not a Buddha. A Buddha does not return from the dead. That is the whole point – a Buddha has escaped the round of rebirths.
Yes. It depends upon how you view the Resurrection. If it is viewed in terms of a transcendence of the duality of life and death, existence and non-existence, I think it could be Bhuddahood- not that Jesus is reborn ‘as such’, but the duality of life and death cease to mean anything. cf. the Diamond Sutra:
Subhuti, what do you think? Does a venerable one who will
never more be reborn as a mortal say within himself: I obtain
the fruit of a Non-returner? Subhuti said: No, World-honored
One. Wherefore? Because “Non-returner” is merely a name.
There is no non-returning
I think also we see in Jesus the destruction of the dualities of ‘existence/non-existence’, life/death’, ‘poverty/riches’, ‘mourning/rejoicing’.
Is such an interpretation true? It no longer matters to in the context of Enlightenment:
“that Truth to which the Tathagata has attained is neither real nor unreal.”
From the ‘Collection of Stone and Sand’:
A university student while visiting Gasan asked him: “Have you even read the Christian Bible?”
“No, read it to me,” said Gasan.
The student opened the Bible and read from St. Matthew: “And why take ye thought for raiment? Consider the lilies of the field, how they grow. They toil not, neither do they spin, and yet I say unto you that even Solomon in all his glory was not arrayed like one of these…Take therefore no thought for the morrow, for the morrow shall take thought for the things of itself.”
Gasan said: “Whoever uttered those words I consider an enlightened man.”
The question/non-question of the Buddhood of Jesus calls to mind the 1 Koan of the ‘Gateless Gate’: “Has a dog Buddha-nature?” “Mu”. I am sure the rest is known…
To paraphrase the sage Mummon:
Has a (Jesus) the Buddha nature?
This is a matter of life and death.
If you wonder whether (Jesus) has it or not,
You certainly lose your body and life!