The fulfillment of Isaiah 61

After Jesus fasted forty days and nights, and after He was tempted by the devil in the wilderness, He went into his home town and proclaimed the year of Jubilee on The Day of Atonement (the only day you can proclaim a year of Jubilee every 50th year):  
Luke 4:16-22 
"He went to Nazareth, where he had been brought up, and on the Sabbath day he went into the synagogue, as was his custom. He stood up to read, and the scroll of the prophet Isaiah was handed to him. Unrolling it, he found the place where it is written: “The Spirit of the Lord is on me, because he has anointed me to proclaim good news to the poor. He has sent me to proclaim freedom for the prisoners and recovery of sight for the blind, to set the oppressed free to proclaim the year of the Lord’s favor.” Then he rolled up the scroll, gave it back to the attendant and sat down. The eyes of everyone in the synagogue were fastened on him. He began by saying to them, "Today this scripture is fulfilled in your hearing.” All spoke well of him and were amazed at the gracious words that came from his lips. “Isn’t this Joseph’s son?” they asked."
This is the scripture He was reading from:
Isaiah 61:1-3 
"The Spirit of the Sovereign Lord is on me, because the Lord has anointed me to proclaim good news to the poor. He has sent me to bind up the brokenhearted, to proclaim freedom for the captives and release from darkness for the prisoners, to proclaim the year of the Lord’s favor and the day of vengeance of our God, to comfort all who mourn, and provide for those who grieve in Zion— to bestow on them a crown of beauty instead of ashes, the oil of joy instead of mourning, and a garment of praise instead of a spirit of despair. They will be called oaks of righteousness, a planting of the Lord for the display of his splendor."  
He stopped reading at the word "favor", and told them that that scripture had been fulfilled in their hearing.  The last half of the scripture verses 2 and 3 (and on really) ...will not be fulfilled until His second coming. The Day of vengeance will be carried out on non-believing Jews on the Day of Atonement 10 days after His Second Coming on The Feast of Trumpets/ Yom Teruah. To understand the rest of the verse, I suggest reading Ezekiel 9: 1-6:
"Then I heard him call out in a loud voice, 'Bring near those who are appointed to execute judgment on the city, each with a weapon in his hand.' And I saw six men coming from the direction of the upper gate, which faces north, each with a deadly weapon in his hand. With them was a man clothed in linen who had a writing kit at his side. They came in and stood beside the bronze altar. Now the glory of the God of Israel went up from above the cherubim, where it had been, and moved to the threshold of the temple. Then the Lord called to the man clothed in linen who had the writing kit at his side and said to him, 'Go throughout the city of Jerusalem and put a mark on the foreheads of those who grieve and lament over all the detestable things that are done in it.' As I listened, he said to the others, 'Follow him through the city and kill, without showing pity or compassion. Slaughter the old men, the young men and women, the mothers and children, but do not touch anyone who has the mark. Begin at my sanctuary.' So they began with the old men who were in front of the temple."
So you see those who are newly His, after seeing that He was indeed who He claimed to be, will be mourning after the rapture and then will be comforted after that Day of Atonement.
Zechariah 12:10:
“And I will pour out on the house of David and the inhabitants of Jerusalem a spirit of grace and supplication. They will look on me, the one they have pierced, and they will mourn for him as one mourns for an only child, and grieve bitterly for him as one grieves for a firstborn son. On that day the weeping in Jerusalem will be as great as the weeping of Hadad Rimmon in the plain of Megiddo."
...and so the remnant of Israel will be saved. 
Palms 102:13:
"You will arise and have compassion on Zion, for it is time to show favor to her; the appointed time has come." (Appointed time = "Moed"= festival... one of God's 7 appointed festivals, obviously here referring to the same I mentioned before (The Day of Atonement) or the one directly following 5 days later (The Feast of Tabernacles... when Jesus will begin his millennial reign).