The words of Jesus on this subject are in the texts highlighted in bold. The others give other words, inspired by the Holy Spirit, to other believers.
Ecclesiastes 9:3-6, 11 & 12:1-14
Matthew chapter 23
John 5:28-29 & 9:1-5
1 Corinthians 15:46-48
2 Corinthians 4:1-6 & 5:10
The reason why the words in Revelation are attributed directly to the resurrected Jesus Christ, irrespective of who wrote the book of the Revelation, is that the one instructed to write, John, states at the outset that this was "A revelation of Jesus Christ, that God gave to him, to shew to his servants what must soon come to pass", and that it is "the testimony of Jesus Christ." Throughout the entire book, Jesus speaks and in chapter 6 it is Jesus who opens this 5th seal, whereafter the souls of martyrs under heaven's altar ask a question and are answered. The point is that they were martyred (died horribly), then their souls went to heaven, not into another living creature, and they are told to rest in heaven till the full number of martyrs has been reached. They are given white garments to wear, not a new body. New, resurrection bodies won't be given to clothe the souls of the departed dead till the Day of Resurrection and Judgment - still future - read ch. 21 vss. 4-15.
The words in Luke 13 are the direct words of Jesus, while on earth, and show that horrible deaths of people don't happen because they were more wicked than others, and so deserved such dreadful deaths; no, every person who does not repent before they die is heading for the adverse judgment of God. There won't be a second chance in some after-life. The reincarnation idea depends on the chance of an opportunity after death to improve ones-self and, if that happens, their next reincarnation will be better, and so they can gradually work their way up some imagined "ladder" to higher levels.
Just read Jesus' warnings to religious zealots, who were meticulous in living admirably moral lives, as to them actually already earmarked for hell. That's in Matthew chapter 13. Nobody can read his denunciations of them, and their converts, in light of transmigration.
Finally, Jesus' direct words in John agree with the words of Ecclesiastes 12:1-14 that when people die, their spirit returns to God, to await his judgment. Further, Ecclesiastes 9:3-6 confirms all of that by saying that the dead know nothing, whereas the living know that they will die. This all adds up to repudiation of the transmigration idea, especially what Jesus said. So, you can accept Hebrews 9:27 in that list, now knowing that it is in total harmony with all the other texts, and with what Jesus said, even if Jesus himself did not speak those words in Hebrews 9:27.