Since you got him two days ago, you should not be handling him. Let him sit for one whole week without touching him! (I know it's hard)

After the week, offer him food. If he eats, don't touch him for two days after he eats.

1 I'm sure he is quite nervous, and if he jerks around that's normal for now.

2 yup totally normal

3 more likely he thinks of your hand as a threat and he's keeping a defensive eye on it.