Hi, Krystel.
Keep it together and try to be as calm as possible. Right now, I think the only way you can help yourself is by showing everybody just how stable and reliable a person you are. Whatever mistakes you've made, you have to live with. That's what being a parent and being an adult is about.
As I told you in another post, you really have to look at what you have and see how much you wanna fight for it. At this point, you seem to have lost Cory. Maybe. It doesn't have to end that way, though. Whatever his reasons are for leaving, these reasons are real for him. You have to address these issues. Married people always have issues and it's part of being together that you work these issues out.
One very good friend of mine kicked her husband out the door when he showed that (after around ten years of marriage) he really couldn't handle his anger and was capable of really physically hurting his son. They're actually all friends now but what this shows is this: if a person sees and thinks that his/her partner is not good for his/her kids, then that person will seek sole custody.
If you're afraid that Cory may seek custody of your children, then make sure the courts don't have reason to decide in his favor. Show just how responsible you are. If you don't have some sort of job, get one. The other girls here have shown that they can manage work and taking care of their children. You can, too. Show the courts and Cory that you are a very responsible, caring and mature mother.
Once that is out of the way, then it would be time, I think, to try and work things out with Cory. If he values his children enough, he knows that he cannot keep their family apart and that means sticking close together. Of course, that also means your having to show him what you're all about and that he will be missing out a lot by not being with you. Show him again why he fell in love with you in the first place and show him that there's really more where that came from.
Never let him forget what a good person you are. Though good looks make a very good first impression on guys, it always stays as a first impression. A lasting impression is one that is based on what a person is really about and that's what he should see.
Keep it together and show them who you are. Your babies and even Cory is counting on you.
Take care, honey and email me anytime you need to talk more.
Erick