Here's two different perspectives on reincarnation, I touched on this already. I'll briefly mention it again.
1) Howard Pittman, during his NDE, was shown heaven, and was shown the demonic realm, and operation. After this experience, he believes the demonic are feeding kids, the past life info. This is done, in order to have the masses believe in reincarnation. If one believes in this, then Jesus is really not needed.
Here's something to give weight to this view. There's a GLP member, who stated he had several past life dreams. He finally realized during a dream, that this was a deception of Satan. When he realized this in his dream, he saw a demon. After this he no longer had any past life dreams.
2) There's a woman that believe there's rare cases, that if a person doesn't fulfill his / her destiny that they may return to their bodies. In her worldview, she still believes in heaven, hell, and Jesus.
If what this woman stated is so, then we can assume not all children will remember their past lives. And this is what Dr. Ian Stevenson, who studied hundreds of children's past lives, had discovered.
But since the Bible doesn't support this, I can't support this view. However, if what this woman stated is so, this still doesn't rule necessarily rule out the Bible, Jesus, etc. Since again, in her paradigm, it all still fits.
2 Corinthians 12:2 I know a man in Christ who fourteen years ago was caught up to the third heaven. Whether it was in the body or out of the body I do not know--God knows.
This makes me believe, there may be more, that's not mentioned in the Bible.
But again when all the Bible verses are examined, I can't support the second view.