How to animate a long dress with long sleeves

Hi, I’m having trouble animating a dress like this one:

Here is the modifier stack of the dress:

The animation is a mess as you can see:

The vertex group called stiffness used in the shrinkwrap modifier doesn’t remain attached to the mesh, here you can see the vertex group in weight paint mode:

Moreover the dress enters the character.
The cloth parameters are these :

Let me know where is the mistake and if there is another more suitable way to animate a dress like this one.
Thanks in advance