The descent of Isa (peace be upon him), the killing of the Dajjal and the spread of Islam

It is narrated from Ata', the freed slave of Umm Subayyah; he said that he heard Sayyiduna Abu Hurayrah (may Allah be pleased with him) say that the Messenger of Allah (peace and blessings be upon him) said: "Isa ibn Maryam will surely descend as a just judge and an equitable leader, and he will surely pass along a mountain road to perform Hajj or Umrah, or to combine both of them, and he will surely come to my grave until he greets me with salam, and I will surely return his greeting." Sayyiduna Abu Hurayrah (may Allah be pleased with him) says (to his nephew): "O my nephew! If you meet him, say: Abu Hurayrah sends you his greetings of salam."
This hadith has an authentic chain, but the two Shaykhs did not record it with this sequence (of wording).

It is narrated from Sayyiduna Abu Hurayrah (may Allah be pleased with him) that the Prophet (peace and blessings be upon him) said: "Indeed, the spirit of Allah, Isa ibn Maryam, is going to descend among you. So when you see him, recognise him: he will be a man of medium height, of a reddish-white complexion, wearing two garments dyed light yellow-red. His head will look as though drops are dripping from it, although no moisture has touched it. He will break the cross, kill the swine, abolish the jizyah and call people to Islam. Allah will destroy the Masih al-Dajjal in his time, and such peace and security will descend upon the people of the earth that lions will graze with camels, leopards with cattle and wolves with sheep, and children will play with snakes and they will not harm them. He will remain (on earth) for forty years, then he will pass away and the Muslims will offer his funeral prayer."
This hadith has an authentic chain, but the two Shaykhs did not record it.