Possibly. I also think that the curse was symbolic also. To crawl on the floor and to eat dust is another way of saying that Satan will fight with humans because they were made from dust (Adam).
To some small extent, maybe. However, we know that Satan has been busy accusing us in the halls of heaven above. Hardly a place one would crawl to

He also has a position of prince of this present world.
Joh 16:11 -Of judgment, because the prince of this world is judged.
Joh 14:30 -Hereafter I will not talk much with you: for the prince of this world cometh, and hath nothing in me.
The curse for Satan was that the seed of the woman (notice that only one woman in history ever had seed herself with no man) would would destroy him one day.
The curses for the creature and man and woman are listed separately!
Doesn't a serpent crawl on the ground like a snake?
Not then! Otherwise it would not have been a big change and curse! Besides, the creature was chatting to Eve at the tree, I doubt Eve would have been with face on the dirt listening.
I do not think God chose to curse the animal, because snakes today are not cursed and they are His innocent creation.
Everything is relative. We could say man is a wonderful creature also. But we all were a lot more wonderful in our created state. If snakes were so wonderful we would not see that they were so changed in heaven, and a child would be safe near them!
God cursed Satan himself and used the description of snake to describe what he will be doing for the rest of his life until he gets to be put in hell for eternity.
Now that's a stretch.
He will fight and try to destroy humans because he can destroy the body and the soul.
??
Mt 10:28 -And fear not them which kill the body, but are not able to kill the soul: but rather fear
him which is able to destroy both soul and body in hell.(God)
Also creatures never decide to be possessed or not. They can be however.
Oh? How about mankind? Did Satan enter Judas against his will? While it is true that animals are not people, one suspects that some sort of collusion occurred in the serpent/Satan caper. Since the serpent also got judged, this seems to confirm the co guilt.