Reddit reviews Life Before Life: Children's Memories of Previous Lives

If you want books, I'd recommend Life Before Life and Return to Life by Jim B. Tucker, along with anything by Ian Stevenson.

For documentaries, there's "Supernatural Science: Previous Lives", "Extraordinary People: The Boy Who Lived Before" (which is based on a case that Dr. Tucker investigated), and "Reincarnation in America".

Edit: I got around to watching "Unmistaken Child", and while it's not the most scientifically backed documentary, it is quite fascinating. At one point the child chooses items from his past life, and I estimated choosing the correct ones to have a 0.0093% chance of being luck, or 1 in 10,000. Not concrete proof by any means, but extremely out of the ordinary regardless.

In my opinion, the best place to start review of the evidence for reincarnation is with Dr. Jim Tucker's Life before Life. He's got more recent books. And you'll eventually want to go to the source, his mentor Dr. Ian Stevenson's seminal research. But start with Tucker's balanced review of the evidence and arguments. Don't prejudge it with assumptions about what is "keerazzy" or what does or does not exist. Just look at the data and draw your own conclusion.

This book could shed light on your (and your child's experience). Seriously.: http://www.amazon.com/Life-Before-Childrens-Memories-Previous/dp/031237674X

Ajahn Brahm - Loving Your Sufferings

Ajahn Brahm - Addictions & Obsessions

Ten years ago I worked with two young men who had duchenne, like you. So I know a bit about your situation. It lifts me up to see, that you are working on yourself instead of just giving up.

Why not take refugee in the Buddha, Dhamma and Sangha?
Why not take comfort in believing in rebirth? This life might be very hard. But you can still develop your mind with meditation. Especially Metta Meditation. And this way you will build up a lot of good karma, which will come to fruition in your next life. Reflect on this.
There are some good books on reincarnation. And there is real scientific evidence on it. It is very convincing. And why not take comfort in that?
Life Before Life: Children's Memories of Previous Lives
And check out more of Ajahn Brahm. He is a magnificent buddhist teacher, and his compassionate teachings have helped me so much in my life.
The whole teachings of buddhism are about one question: How to end suffering? And the buddha found the ultimate answer. He found the ultimate escape from all suffering, from all disappointment, from all misery. And all you need is your own mind. No money, no career, no girlfriend, no sex, and not even a healthy body - just your mind.
Check out Ajahn Brahm - he is powerful.
With lots of Metta! Good Luck to you!

Stevenson did some very interesting work tracking down the stories of children who remembered previous lives, and there's a more informal account of his work here: http://www.amazon.com/Life-Before-Childrens-Memories-Previous/dp/031237674X

His angle was to collect stories and then try to confirm the details of the stories, finding the specific previous life the child remembered. Working in cultures which accepted reincarnation enabled him to more easily find subjects and check their details. The birth defect study is an off-shoot of that.

I like these books :

https://www.amazon.com/Beyond-Physicalism-Reconciliation-Science-Spirituality/dp/1442232382

https://www.amazon.com/Boy-Who-Knew-Too-Much/dp/1401953425/ref=mp_s_a_1_1?ie=UTF8&qid=1541433567&sr=8-1&pi=AC_SX236_SY340_QL65&keywords=boy+past+lives&dpPl=1&dpID=51XVBER6UbL&ref=plSrch

https://www.amazon.com/Life-Before-Childrens-Memories-Previous/dp/031237674X/ref=mp_s_a_1_4?ie=UTF8&qid=1541433596&sr=8-4&pi=AC_SX236_SY340_QL65&keywords=ian+stevenson+reincarnation&dpPl=1&dpID=41TryJKvduL&ref=plSrch

I see what you're saying, largely agree with your suggestion. But.. indeed on the part of the authors credibility, for example: https://www.amazon.com/Life-Before-Childrens-Memories-Previous/dp/031237674X