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Unto Adam also and to his wife did the LORD God make coats of skins, and clothed them. - Genesis 3:21

I think we agree that when God did this that it was a picture of Salvation. If so, where was Adam's choice in the matter? The Bible doesn't record Adam making a decision. It just says that God made coats for them and clothed them. Could Adam have rejected the covering God had made for him and his wife?

Why do you see this episode as a picture of Salvation ?

Do you see this passage as a picture of salvation, as well ?
Genesis 19:12 And the men said unto Lot, Hast thou here any besides? son in law, and thy sons, and thy daughters, and whatsoever thou hast in the city, bring them out of this place:

13 For we will destroy this place, because the cry of them is waxen great before the face of the LORD; and the LORD hath sent us to destroy it.

14 And Lot went out, and spake unto his sons in law, which married his daughters, and said, Up, get you out of this place; for the LORD will destroy this city. But he seemed as one that mocked unto his sons in law.

15 And when the morning arose, then the angels hastened Lot, saying, Arise, take thy wife, and thy two daughters, which are here; lest thou be consumed in the iniquity of the city.

16 And while he lingered, the men laid hold upon his hand, and upon the hand of his wife, and upon the hand of his two daughters; the LORD being merciful unto him: and they brought him forth, and set him without the city.

17 And it came to pass, when they had brought them forth abroad, that he said, Escape for thy life; look not behind thee, neither stay thou in all the plain; escape to the mountain, lest thou be consumed.
...

24 Then the LORD rained upon Sodom and upon Gomorrah brimstone and fire from the LORD out of heaven;

25 And he overthrew those cities, and all the plain, and all the inhabitants of the cities, and that which grew upon the ground.

26 But his wife looked back from behind him, and she became a pillar of salt.
Are there any choices (for salvation) made in this passage ?

Do you see this passage as a picture of salvation, as well ?

I don't know, I never thought about that one before. But looking at what you posted I see that the Lord had to drag them out of the city. Once out of the city God let them go to walk on their own. Mrs. Lot looked back and turned to salt.

That looks to me like a picture of salvation with God dragging them out, and then their walk afterwards being a type of the Christian walk after salvation. Some people move forward in their walk and some desire to go back. However we know that people are not allowed to go back and at times the Lord will take a child home instead of letting them stay here and wallow in their sins.