I know how that feels. I don't think you are being any more irrational or insecure than any other woman would be in your situation. Since you already have 2 kids, you know what to expect and how to take care of a baby. Even though your bf has a child, it doesn't sound like he has been very active in parenting the child. Still, at 15 it's awfully difficult to be a parent. However, if he's happy and excited about the baby, that seems like a good sign. Maybe he's ready to be a dad this time...
I was 22 and my husband was 19 when my first child was born. Both of us were scared and excited, but he was awfully immature (okay, so was I). Neither of us knew how to be parents, but we learned. Maybe your boyfriend will learn too.
Hang in there and keep us posted.