T.C.
You have real issues going on! It could definitely be something that you'd be struggling with regardless of whether you'd just had a baby or not. BUT, I do think with all the changes going on with having two little ones and having just had a baby that it can be affecting you even more.
I'm not a big believer in meds for stuff like this (no offense to anyone who takes them, it's just my personal feelings on it). I think finding someone to talk to and share your stresses with can do wonders, like a counselor of some sort. It's something to take seriously. I struggled with a similar thing after my first baby. She had unexpected open heart surgery when she was five days old and then diagnosed with an awful disease, and I couldn't tell what was PPD and what was real. I think it's a combination of the two. All the changes are a bit to take in anyway (just adjusting to another baby and lack of sleep from that are stressful enough) and then your issues of hubby being deployed. That's rough! I would stress majorly over that, even if I had no kids!
Also, as goofy as it might sound, making sure you are getting enough of the right vitamins can really do wonders. Vitamin B's are really helpful and especially vitamin d3 has been known to help with depression. It won't "cure" your problems, but it can help you deal with them better. And, of course, enough sleep can do wonders...but like that's going to happen for a while! (((hugs)))
I wanted to add that I totally agree with the previous poster. Thank you to you and your hubby for his service. I'm so touched by the sacrifice of families like yours. I know it has to be SO HARD. But we are so grateful for what he (and you) are doing for our country and freedom.