Did Mara win over Buddha? There is incident where Mara is trying to get to Buddha even after he became enlightened.
Finally Mara win him over by his death.
With that knowledge is it correct to assume he had hunger feeling and sexual feelings too?

From Parinibbana Sutta


  
  There was a time, Ananda, when I dwelt at Uruvela, on the bank of the Nerañjara River, at the foot of the goatherds' banyan-tree, soon after my supreme Enlightenment. And Mara, the Evil One, approached me, saying: 'Now, O Lord, let the Blessed One come to his final passing away! Let the Happy One utterly pass away! The time has come for the Parinibbana of the Lord.
  Then, Ananda, I answered Mara, the Evil One, saying: 'I shall not come to my final passing away, Evil One, until my bhikkhus and bhikkhunis, laymen and laywomen, have come to be true disciples — wise, well disciplined, apt and learned, preservers of the Dhamma, living according to the Dhamma, abiding by appropriate conduct and, having learned the Master's word, are able to expound it, preach it, proclaim it, establish it, reveal it, explain it in detail, and make it clear; until, when adverse opinions arise, they shall be able to refute them thoroughly and well, and to preach this convincing and liberating Dhamma.
  I shall not come to my final passing away, Evil One, until this holy life taught by me has become successful, prosperous, far-renowned, popular, and widespread, until it is well proclaimed among gods and men.
  And again today, Ananda, at the Capala shrine, Mara, the Evil One, approached me, saying: 'Now, O Lord, bhikkhus and bhikkhunis, laymen and laywomen, have come to be true disciples of the Blessed One — wise, well disciplined, apt and learned, preservers of the Dhamma, living according to the Dhamma, abiding in the appropriate conduct, and having learned the Master's word, are able to expound it, preach it, proclaim it, establish it, reveal it, explain it in detail, and make it clear; and when adverse opinions arise, they are now able to refute them thoroughly and well, and to preach this convincing and liberating Dhamma.
  
  And now, O Lord, this holy life taught by the Blessed One has become successful, prosperous, far-renowned, popular and widespread, and it is well proclaimed among gods and men. Therefore, O Lord, let the Blessed One come to his final passing away! Let the Happy One utterly pass away! The time has come for the Parinibbana of the Lord.
  And then, Ananda, I answered Mara, the Evil One, saying: 'Do not trouble yourself, Evil One. Before long the Parinibbana of the Tathagata will come about. Three months hence the Tathagata will utterly pass away.
  And in this way, Ananda, today at the Capala shrine the Tathagata has renounced his will to live on.
No, the Blessed One renounced his will to live-on on his own volition since the bhikkhus and bhikkhunis, laymen and laywomen, have come to be true disciples... just like the paragraph says. It's not like Mara could've done anything about it, had the lord said no.

Enlightened beings feel hunger, taste, smell and other bodily sensations caused by contact as long as they have functional sense doors. But they do not get sexual feelings as it requires lust to play it's part.