Here's a link to a picture
of the scarf. At least in one of the projects, it looks like a picot edge. I don't have the pattern but usually you cast on and then bind off and continue the row for this kind of edge. Can you quote the exact directions for the edge sts?
As for keeping to the chart, it may help to mark off the first and last chart sts by adding stitch markers to your needles. Then you can work the chart independently of whatever is happening to the edge stitches