I'm really sorry. I know that it has got to be a very scary position for you. Just this once I'm going to withhold any advice and just give sympathy. It's the reality of what you are going through that really makes me hate this whole process. No one should have to be a single parent, but it isn't your fault. I know it doesn't help.
I guess I'll give one piece of advice and it isn't about saving marriages. Make sure legally that your H is obligated to provide for the kids. You need to get your legal ducks in a row so he pays his child support. I don't know what his job is, but since you said "duty station", I'm pretty sure it's a job where paying his child support is unavoidable.
You cannot be lonely if you like the person you're alone with. Dr. Wayne Dyer