Looking at your photos, the back ground is dark blue, without any print that I can see. Yet, the lid of your set says it is Barbie & Ken as Arabian Nights. These dolls are not dressed in Arabian Nights which maybe suggests to me, that this gift set has been put together as best they could. Each outfit piece has been individually wrapped. The stands are not in the boxes with the dolls, but off to the side also wrapped. It does look complete. Also note, the Barbie inside is a Bubble Cut Barbie. Also noted is the little catalog included. As you can see in photo i posted, the play programs are included. Not sure if they are in your set or not (under the clothing?)
If I find more information or images of other gift sets that look differently, I will post it here. Sorry I was not as much help as you were wishing for, but hope it helps you determine what your set is. Is there any way to tell if items in your set have been played with?
Music touches every key of memory, and stirs all the hidden springs of sorrow and joy; we love it for what it makes us forget, and for what it makes us remember.~~L.E. Landon
