The Molecular range is the radius around a molecule in a substance to which the molecule can exert attraction force on another molecule. This is distance.
Sphere of influence is the spherical space/volume around a molecule in a substance, inside which the molecule at center can exert attractive force on another molecule.
The molecular range is very small like 1 nanometer.
Surface tension is the surface energy - additional energy required to increase surface by a unit area. This is also the tension force exerted (along the line) on the boundary of a surface per unit length.