Get attributes within a limited range

I don't know if geometric nodes can perform the following functions:

1. Read the attribute on the shortest edge of each face and store the attribute on the face.
2. Judge whether a face is square or not
3. Read the specific attributes of the lowest point on each island, such as color. Store attributes on the island.
4. Read the length of the handle closest to the vertex on each curve and store the attribute on the curve.