If our sun is second or third generation, does this not conflict with Genesis ?

What NoNukes is trying to say is that stars the size of Sol and smaller (that are still stars and not gas giants) have very long lifespans compared to larger stars. 30 million years is a drop in the bucket for a 10 billion year lifespan (the expected overall lifespan of our Sun before it expands into a red giant).

From Universe Today:

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The smallest stars out there are the tiny red dwarfs. These are stars with no more than 50% the mass of the Sun, and they can have as little as 7.5% the mass of the Sun. This is the minimum mass you need for a star to be able to support nuclear fusion in its core. Below this mass and you get the failed star brown dwarfs. One fairly well known example of a red dwarf star is Proxima Centauri; the closest star to Earth. This star has about 12% the mass of the Sun, and about 14% the size of the Sun — about 200,000 km across, which is only a little larger than Jupiter.

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It is proof that each of these cultures experienced a flood, which really isn't that shocking. That does not require a simultaneous, world wide flood. On top of that, not every culture has a flood myth, and many of the flood myths contradict each other. Here is a chinese flood myth:"According to the main mythological tradition, Gun's plan of flood control was through the use of a miraculously continuously self-expanding soil, Xirang.[1] So, Gun choose to obtain the Xirang by stealing it from the Supreme Divinity, which he did; however, the Supreme Divinity became quite angered at this importunity.[1] Year in and year out, many times, and to great extents, Gun applied the magical Xirang earth, attempting to block and barricade the flood waters with dams, dikes, and embankments which he built facilitated by utilizing the special powers of the magic soil, yet Gun was never able to abate the problems of the Great Flood. Whether Gun's failure to abate the flood was due to divine wrath against him or to defects in his approach to hydrological engineering remains an unanswered questionalthough one pointed out over two thousand years ago by Qu Yuan, in his "Heavenly Questions".[11]"
Flood myth - Wikipedia(China)That is nothing like the Noachian flood myth. It also shows that the flood was localized. Gun did not put his family in a boat with animals, and wait out the flood.