The child support should be handled in the divorce case. It's much easier and cheaper than having two cases going at once. You should set up a consultation with an experienced local family law attorney.
If the child has lived in Florida for the past 6 months, Florida will most likely have jurisdiction over the child under the Uniform Child Custody Jurisdiction Act. If you move, he can file here and the judge may make you come back to Florida. I have seen this happen in other cases. There is a lot going on in your case, so I would suggest consulting with a local Family Law Attorney before you do anything.
Here in Lee County, jail time is highly possible when caught driving on a DUI suspension. You should contact a local criminal defense attorney ASAP. An experienced local attorney will work to get you the best result possible.