Hi and welcome Lostsoul777,
Here are my answers to your questions, they're very interesting questions you have posed and I'm sure everyone will be giving you different answers!
Which Religion best fits Reincarnation? Or is Reincarnation a religion itself?
The concept of reincarnation is found within many religions, the most 'well known' being Buddhism and Hinduism, but many others also have reincarnation as a central concept, including some branches of Christianity, Judaism and Islam. Reincarnation is also an important belief for Neopagans, Wiccans and others who follow earth or nature based religions. There are also many non-religious people who believe in reincarnation.
Where does Reincarnation Occur?
Difficult one this. As far as I know, nobody knows for sure 'where' reincarnation occurs. It would seem to involve some kind of energy, what many term the 'soul' moving between bodies, but there are many other factors which may be involved, such as Time, Space, Emotion etc
Maybe, maybe not. Everyone has different opinions on this. I see 'heaven' as similar to the place where souls go between incarnations, wherever that may be. Some have described it as a place of light, peace and rest, but I have no memories of this place myself.
Can I choose things like What I choose to remember, my personality, my family, what I reincarnate to etc?
Some say we can choose these things, but I am not so sure we have that much control over it. I see reincarnation acting similar to the way we are drawn towards people during life, we are drawn towards people/places/situations/etc because they resonate with us in some way, such as familiarity or an emotional connection, rather than because it was planned that way.
What All Is Possible During Reincarnation?
There must be limits I guess to what is possible and what isn't, but not sure if there are any hard-and-fast rules as to what is and isn't possible.
Any books on Reincarnation?
Oh plenty! The best ones I've come across are -
Carol Bowman 'Children's Past Lives' and 'Return from Heaven';
Hans TenDam 'Exploring Reincarnation';
Dr. Helen Wambach 'Reliving Past Lives';
Dr. Jim Tucker 'Life Before Life: A scientific investigation of children's memories of previous lives '
Is Reincarnation considered New Age?
It can be, because so many of the concepts involved with reincarnation were first widely discussed in the 1960s and 1970s by the New Age movement. It is possible to believe in reincarnation without getting too bogged down in a lot of the new age stuff. There is a lot of scientific research out there into reincarnation, such as work by Dr. Helen Wambach, Dr. Ian Stevenson and Dr. Jim Tucker