My Cable Knit Scarf Project

So, this cable stitch gave me all sorts of problems in the beginning. I looked at probably 15 youtube videos and they were ALL different instructions... and I was really confused, but I knew how pretty it could look if i could just figure out the technique! Finally, I looked in the book Stitch 'n Bitch and it had very clear directions and simple steps for me to follow- which is exactly what I needed! My practice swatch (which I did a few weeks before actually starting my project) got me a little discouraged. The stitches weren't uniform, there were a few holes, and the counting was throwing me off, too. I realized, though, when I started my actual scarf, that I could keep a tally of which row I was on so when I was consumed in counting my stitches, I wouldn't lose track of which row I was knitting!
Side note: My mother was really close with her grandmother before she passed away about 6 years ago, and one of my mother's greatest memories of my great grandmother is that she spent a great portion of her life quilting, knitting, and crocheting things for my mother (and her other grandchildren). When my mom saw me knitting a row and then marking it on a scrap piece of paper, and then knitting another row, and marking it, etc. she almost got teary eyed and told me that her grandmother used to always have a little piece of paper with her that she kept track of her rows on when she knitted. It was kind of a cheesy yet cool moment for me and my mom to share.
So, since I've gotten my rhythm down, it has been smooth sailing! There is one row where I knitted instead of purled, and then purled instead of knitted... and it made quite an obvious stripe across the scarf, but I think it adds character! Overall I am pleased with it!
The problem I am facing now is that it curls really badly on both sides causing it to be about half as wide as it could be if it were flat. I am contemplating ironing it... but I'm not sure how the yarn will react.