Genesis 1
God creates Adam and Eve at the same time.
Genesis 2
God creates Adam. Adam then does some things (ex. names some animals) and he gets lonely. He tells god, and god makes eve out of his rib.
That's 2 different creation stories.
Genesis 1 does not say that Adam and Eve were created at the same time. It says that man was created as a male/female pair (referring to the biological nature of "mankind"). Genesis 2 is talking about the development of the spousal relationship between man and woman, suggesting that the male/female nature of homo sapien existed for some time before homo sapien developed into mated pairs sociologically.
Genesis 6
There is no way Noah could store the millions of non-aquatic species on the planet on an ark. He could not even get a fraction of that.
There is no reason to think this wasn't referring to the specific geological locality of Noah and his neighboring tribes. Think about how long it took mankind to realize Earth wasn't flat. "The earth" would have referred to their known lands, not the planet.
The bible god does not exist.
That is a logical leap with no supporting proofs. Treat this as a geometry proof where you have to show your work. You aren't showing your work...