Yes, those lines are reef points. They act as grab handles which sailors use to haul up and furl the sails. All sails which should have reef points will get them. I'm still working on getting boltropes and bonnet lacings done. Reef points add a lot of detail to a sail. You can see that the reefing bands for topsails have already been added to those sails. When reef points are added on and which sail they are used depends on the time period and country. La Couronne will have early 17th century (c. 1636) style sails, so the location and number of reef bands will be different than those found on a typical British 1750's vessel like HMS Victory. I've seen a few different interpretations of what the sails on La Couronne looked like and used other models and book information to help decide what features to use.
I decided that the sail plan below fits the research information best. The mainsails have a row of reef points below the bonnet lacing and the topsails have three rows of reef points in the top half of each sail. The spritsail has no reef points since they would typically be used on galleons later than La Couronne. The topgallants would not have any reef points, nor would the crojack sail or the lateen. The courses and the lateen would not typically have reef bands because they had bonnets. The number of row of reefs on the courses and topsails can vary. Now that I look at the it looks like I put the reefing band on the wrong side of the sails. They should be on the front side, not the rear side like with the top lining.
Oh well. I'll get it right on the next ship model.
View attachment 176642
Scratch Build of La Couronne by Karl Faendrich in Germany
View attachment 176645
View attachment 176649
View attachment 176650
View attachment 176651
View attachment 176652
Italian scratch build of La Couronne
View attachment 176646
View attachment 176647
View attachment 176648