Create surface from both curve and point


I’m trying to make a surface from both closed curve and points. The surface starts from the curve and reach each point with different Z and again goes to the curve. I tried to group all points and use “Surface from points” but since these points are reference points when I put a number slider for U count it gives ma very weird shape! Also, the surface should not go over the Closed curves.
Can you please guide me on how to make this surface?

Many thanks

Points surface.3dm (89.4 KB)

maybe this help you