If you read through the first 8 chapters of Genesis, you'll see that in the beginning God's creation was perfect, without any of the evil you reference.

Then you'll see that because humans are intrinsically human, this idea of sin, a disease if you will, infects all of existence and the clock of entropy begins to wind down. And now humans know the difference between good and evil, and with that knowledge comes the ability to choose evil.

inquest of Adam and Eve

Hear me out; God created genetically perfect humans at the beginning, capable of yielding all the variety we see today (and more, who knows how many branches of humanity have been completely wiped out through the years). It wasn't until the Mosaic law was handed down that what we call "incest" was outlawed. I will presume that this was about the time that genetic diversity had narrowed to the point of producing overly damaged offspring.

Did God create heaven?

Yes.

Did God create hell?

That depends on which one you're talking about. He created all but one hell. The one He didn't create is merely His absence.

Did God create "taking babies from their crying mothers actually levels them up out of the world of suffering"; did God create death and suffering?

By one man sin entered the world. The answer is no, God did not create these things.