Good Evening Grandy,
Thank you for your time and effort in digging out all these links, they are indeed very interesting and a good concept to cover.
I am not so sure what is taught or what you have learn regarding the rebirth concept in Buddhism, various schools could have taught this differently.
The rebirth concept I knew of is closely tied to karma, it is regarding the rebirth of the same karma across different lifetime, different generation at same or different places. Buddha taught the doctrine of anatman, no soul or no self, which means it has noting to do with afterlife.
An example of the rebirth here is Grandfather, Father, Grandson, concept. The grandfather of the family, when young, always push the blames (emiting negative karma) to others whenever something happens, the father in turn learns the same and continue doing the same thing. The grandson which in turns grows up learning the same thing, pushing the blame to other whenever something happen.
From this example, the rebirth of the same negative karma of pushing blames to others is reborn across generation.
If the father or the grandfather will to put a stop to the negative karma of pushing the blame to others, then the grandson will not learn this negative karma, and in returns, putting a stop to the rebirth of it.
Rebirth can also happens within self, one common example is that a person could have meditate till the extend of deep wisdom to understand what is anger and stop emitting anger, but one day, he could have been triggered by some negative experience and become very angry for that instance, and thus resulted in the rebirth of the same emotion he had put a stopped to it.
Think of us being in the same big ocean full of people, with everyone sending out ripples of emotion. Today the emotion of anger/blame or negative feeling could have happen at the same spot by different people at different time.
In the third noble truth, to reach enlightenment, is to put a stop to the craving of satisfaction, emitting negative karma and stopping the rebirth. Whether there is an afterlife and non-afterlife or a creator is not important, even Gautama buddha didn't endorse in a creator/god. Seeking a definite answer to this has noting to do with reaching enlightenment/ ending the suffering.
Maybe your understanding and what is taught by your school would be different. Here are my sources in regards to what I have posted.http://en.wikipedia.org/wiki/God_in_Buddhismhttp://buddhism.about.com/od/thefournob ... truths.htm
Finally, I wish that you would have a great weekend