Yes you can. And while I am not a FL lawyer, I agree completely with Mr. Phillips. Search for one of the lawyers on this site (like Mr. Phillips) as opposed to hiring someone based off a TV ad. They will spend much more time with you and your chances of getting a greater recovery are much better. Best of luck.
Can they? Yes, as in the law does not require them to wait for the state adjudication to take effect. Will they be able to? Hard to say, without more info. Contact the TDS office on base immediately. You might also want to consider retaining civilian counsel to protect your rights. If you have more than 6 years active duty, or if they are recommending you receive an OTH, you are entitled to have your case heard before a Board, and you should take advantage of that right.
If you are ordered by a court to pay health insurance, then yes. But usually any such order would say you have to "provide" health insurance. Absent a court-order stating how much support you must provide, you must comply with the terms of AR 608-99 with regards BAH and support of family members. You should consult a legal assistance attorney on base for further info.
CID cannot find your husband guilty. CID investigates cases, and turns the case over to the command to determine what action, if any, to be taken against the soldier. The same is true of a 15-6 Investigation. The Investigating Officer (IO) investigates and turns the results over to the command to decide what action to take. I would advise anybody subject to a 15-6 Investigation to speak to an attorney before making any statements, even if they have already done so. He should either go to...
Respectfully, instead of insulting lawyers it might be a better idea if you asked your question in a more civil manner. I agree with Mr. Lewis. The best thing is to "play nice." Be respectful. When you disagree and think the judge is not following the law, say "respectfully your honor, I disagree. I believe the law is X." And tell him why.
According to your question, he was not married when you became pregnant, so no. He will be required by regulation to support your child, but you should also see a lawyer in your area for assistance with setting up a child support arrangement.