There is no relevant or credible evidence showing the earth as only being 6,000 - 10,000 years old. It is merely those who want their story correct, then making up these silly notions to fit their side. Contrary to what some believe, there is no conspiracy from those in the scientific community. If the earth was 6,000 years old, evidence would show it conclusively. It just doesn't.
There are places online that address why these pseudo-scientific points wrong. If you are interested in the ACTUAL truth, you owe it to yourself to discover what actually IS truth.
As for "the garden of eden and nothing dying", that just doesn't comport with multiple fields of study.