For heaven's sake don't think of it as my model! It's a priceless, late-seventeenth or very early-eighteenth century contemporary "Board Room" model.
I have a feeling that most of the lines leading through that rack are coming from the spritsail topsail and its yard. All of the running rigging of that spar and sail has to go alongside the bowsprit, and be set up to handle from the forecastle deck.
The big problem with model photographs, of course, is that unless they're taken from a considerable distance you can't see both ends of a line in one picture.
You do have a copy of Anderson's The Rigging of Ships in the Days of the Spritsail Topmast, don't you? Take a look at pp. 227-230. (I'm assuming you've got the Norton paperback edition.) There he talks about lines leading inboard via the long gammoning blocks, as he terms them.
For the moment, of course, all this is pretty much moot. If I were you I'd lash the gammoning blocks to the gammoning, and leave the rest until you've got the hull finished and the spars up.
Several illustrated catalogs of the Rogers collection at Annapolis have been published, and several are available at bargain prices over the web. Unfortunately all the photos in those catalogs are black-and-white. What we really need is a big, oversized coffee table book, with lots of color photos, supplemented by essays from curators and conservators. I've heard faint vibes that such a book is in the works, but I know no more about it than that. In the meantime, any American modeler who's even slightly interested in ship models needs to make the pilgrimage to Annapolis.
That French model that Cerberus kindly linked us to apparently represents the Louis XV, and thus can't be trusted as a source for details of the Soleil Royal. The SR was launched in 1670. Louis XV reigned from 1715 through 1774. Wrong century. But a magnificent model.
Youth, talent, hard work, and enthusiasm are no match for old age and treachery.