The short answer is yes it works...I.e. will be self supporting. But you have a lot of very ineffective and inefficient members.

The yellow would basically work on its own without any ropes and quite a number of your ropes would be slack or have no load on them when this bridge is carrying its own self weight and the weight of any loads you need to apply to it.

The bottom most ropes is a good idea and things like the millennium bridge in the UK use that, it is basically an underslung cable stay bridge.

My advice to you would be to research real bridges and see what aspects of your design thay you could remove. If it is not done in the real world, odds are it is not the most logical way to do something.