There was law: Genesis 2:17
As to the rest, no God is not the author of sin.
Adam was made good, and would live forever if obedient, but he was not made incorruptible or immortal. If God suffered violence in the Garden, Adam could have been killed. But there was a liar in the Garden, and Adam was corrupted, and brought forth evil fruit, disobedience.
Yes there was a law, and Paul said it was different than other laws.
Of course Adam was a son of God in the full image of God prior to a direct disobedient act.
Adam was not some protype of things to come. Adam was placed as the chief caretaker of Paradise along with all of his offspring. It would have had room to hold billions.
Adam was not "corrupted". Adam made a willful conscious direct act of disobedience to God. Adam was given one law. That law was only for Adam. Adam was the only one who could deliberately break that law.
Of course there was a liar in the Garden. You seem to think what he was saying was true. This mortal/immortal gibberish comes directly from the thoughts of Satan. Adam was not "made good". Adam was made complete and mature. The full image of God, with a permanent incorruptible physical body. He had on the "robe of white" which is symbolic of having one's spirit on over the physical body. It was not a human made garment. It was God made. Adam lost this covering along with physically dying from an incorruptible to a corruptible body. That is the death, both he and Eve died. That is why they immediately found themselves naked.
The reverse change happens for the redeemed, who enter life when the soul leaves the corruptible tent, for the permanent incorruptible physical body.
You're a little confused and seem to be a bit superstitious. Man, that is Adam and Eve, was made on the 6th day. Not sure if you're referencing angels or the nephilim with term 'sons of God.' Neither are applicable.
Angels are spirits. Created, yes, but Genesis is not the narrative of their creation.
Yes angels are symbolically represented on the 4th day as the stars. Angels are the physical stars. The task of angels in the firmament are to be those stars.
Eve was not created on the 6th day. The sons of God were created on the 6th day. Any one who refuses to interpret Genesis 2 as being after the 7th Day, is confused. God clearly planted the Garden after the Sabbath. The Sabbath was also not an evening and a morning. The Day of the Lord is defined in 2 Peter 3:8. In Genesis 2 the day of the Lord is singular, while the generations of life on earth is plural. There were not dozens of generations in a 24 hour period. The time given for many generations between the 6th day and the time God returned to plant the Garden would be a logical 1,000 year period.
There was no sin and no death for 1,000 years. In fact Genesis 2 declares no wild seeds "died" to create new plants. No plants died, nor were eaten. No one even planted domesticated crops which would be also death and recycled life of plants. When God said there was no death, God literally meant no death period. The sons of God and all animals and insects lived on the seeds and fruit, and literally nothing grew from one seed during that whole 1,000 years. And many generations of life happened and spread across the earth.
Satan also had that time to sit and think and he decided he could do better than God with this creation on earth. Obviously God gave him some room to develop this plan, even putting one third of the angels in the pit for 6,000 years as some would call, "collateral damage". All of Seth's offspring also affected, and that was passed down through Noah and his 3 sons to all humankind on earth since the Flood.
Obviously incorruptible does not mean indestructible. It means without sin and decay though. But if death is the last enemy, how can anything die, if there is no death? Seems no one has an imagination capable of defining what it means to not die. So much so people have been confused about Genesis 2 thinking there was a totally different creation format given.
"These are the generations of the heavens and of the earth when they were created, in the day that the Lord God made the earth and the heavens, And every plant of the field before it was in the earth, and every herb of the field before it grew: for the Lord God had not caused it to rain upon the earth, and there was not a man to till the ground. But there went up a mist from the earth, and watered the whole face of the ground. And the Lord God formed man of the dust of the ground, and breathed into his nostrils the breath of life; and man became a living soul.
And the Lord God planted a garden eastward in Eden; and there he put the man whom he had formed...."
Many claim this is just a repeat creation formula. It is not. It is God explaining what happened during the 1,000 year Sabbath Day. Then God explains what He did for one son of God whom He had created 1,000 years prior. The Garden was planted after the Sabbath Day.
God explained how creation would work at the end of the first chapter:
"And God said, Behold, I have given you every herb bearing seed, which is upon the face of all the earth, and every tree, in the which is the fruit of a tree yielding seed; to you it shall be for meat. And to every beast of the earth, and to every fowl of the air, and to every thing that creepeth upon the earth, wherein there is life, I have given every green herb for meat: and it was so."
So the only food was the seeds, herbs, and fruit. That is why in the second chapter God says no seeds sprang up from the ground neither wild nor domesticated. This was the way of life for many generations, a long period of time. Then after the Sabbath, God came and planted a garden and put Adam in that Garden. That is when Adam's 130 years started until Seth was born. If one counted the Sabbath day, Adam actually lived 1930 years. Adam lived 900 years as a sinner. He lived 1,030 years as a son of God.
But, no, Genesis does not say how long the Sabbath Day was. That takes studying the whole of Scripture, along with the time frame since Adam until now. I am not sure why no one can see that God planted the Garden after the Sabbath Day, though. Genesis 2 is not a repeat of Genesis 1. The only thought from Genesis 1, that God clarifies is more detail of how the sons of God were created.
"And the Lord God formed man of the dust of the ground, and breathed into his nostrils the breath of life; and man became a living soul."
"So God created man in his own image, in the image of God created he him; male and female created he them."
Not only was Adam and all sons of God created in God's image, but came from the dust of the ground and with God's breath, became a living soul.