I made an Irish Chain for my second quilt. The kids used it a lot when they were growing up. I stitched diagonally and the stitches popped. I put it away to fix one day, and can't remember where it is now. lol Not sure why stitches popped, probably tension. Someone here can tell you how to do it right, then I will know also, when I finally fix it.
If you go on Pinterest, and put in Irish Chain, you will find numerous ideas on how to quilt it.
Your quilt is very pretty. Can't wait to see how you decided to finish it. Please post pictures.