I have take apart my entire kitchen sink. All the pipes are clear. I have re-attached all the pipes, probably not exactly as they were as they are very 'moveable' in that their positions can be altered.

It seems I have made the situation worse. The water flows even slower now. I cannot for the life of me figure out why the water will not flow. ALL the pipes have been cleaned out, you could drink water out of the,

Can someone please explain to me if there is any golden rules that I am missing when it comes to re-attaching these pipes?

Could be the problem is not in your sink piping but in your house drain system. Did you check them?