Mike,
Apologies for the late response, I have been on a nice long vacation.
In your example, you will have out of plane forces from the rigging, because you have four points going to one hook. You will have a vertical force, and horizontal component forces in two directions.
In my attached figure as an example,the y component will create an out-of-plane force on your lifting eye which you need to be accounted for. The x component in my figure will create an in plane force with the lifting eye, this in plane force will also create a moment on your frame which I account for by creating a rigid member, the length of my rigid member is the distance from center of frame to lifting eye hole. Technically the out of plane force also creates a moment on your frame, but this is usually small in comparison to your in plane force.
Now, this may not be applicable if your lifting eyes are orientated so that they are in line with your rigging. However, you will still create a moment on your frame from the rigging force acting at the lifting eye hole, again where your moment arm is from the lifting eye center hole and the center of your lifting frame member.
hope this helps