I really don't see how you can do this with CAESAR II. The vertical cables (running up from the pipe to the horizontal cable) can be modeled using the "Y Rod" restriants. However, this assumes the top of the "Y Rod" is restrainted. Unfortunately your horizontal cable provides no real restraint since it is going to behave as a catenary - which CAESAR II can't model.

I'd suggest something like ANSYS, which has both pipe elements and cable elements, and can handle large deflection and large rotation.