Hearthstone-like drag & drop mechanics

Hey guys!

EDIT:
In fact I'm looking for an event like "OnHierachyChange" to fire a function, that reorders my objects in relation to their SiblingIndex. Does such an event exist?

I've got 2 questions:

1.
I'm looking for a way, to align and to choose where to position 3d objects horizontaly. I could already realise the mechanic with the Unity UI / Hoirontally Layout Grid. Now its the question, how to realise it in 3D?
I tried to combine 3D with the Unity UI, like replacing the UI Images with 3D models. But this didn't work at all.

2.
How do I imitate a hearthstone-like / reallife-paper moving animation? Could this be don with Rigidbody?

You can see both mechanics in the begining of this video:

Thank you in advance!
Eruheran