Like I said you have no clue how science is done.
No, the evidence is observable and repeatable. Events need not to be repeatable to be supported by science. Evidence does need to be repeatable. But then you do not even understand the concept of evidence. Here is a definition of scientific evidence. It comes from Wikipedia but many science based sources will give essentially the same definition:
Scientific evidence is
evidence that serves to either support or counter a
scientific theory or
hypothesis. Such evidence is expected to be
empirical evidence and interpretable in accordance with
scientific method.
And while we are at it here is a simplified flowchart of the scientific method: