Rope going through collider

[budwiz]

I setup a rope, a draggable object and a cube (obstacle) with obi collider.

When dragging the rope around the cube (obstacle), it is 2 issues:
1. The most important one: The rope goes through the obstacle, which is of course not wanted
2. Not so important, but nice to fix: When rope is bent around the cube, its not following the shape of the cube, but rather goes partially inside the cube

Here is a video that shows whats going on:
https://youtu.be/a1_0vixUPXQ

Questions is:
1. How to avoid rope to go through the cube ? Most important !!
2. How to improve the issue in issue 2 ?

Note: As you see the rope is stretched, which is necessary for my project.