1. If you have a local lawyer in Nevada, then do an offer-in-compromise (reduce the debt and penalties) or file bankruptcy, if the tax debt is over three years old. Doing either of these means the collections process is suspended until either is accepted and finalized. Ask a lawyer.
2. You've established residency in Nevada (six weeks), so file for a divorce on grounds of abandonment. File notice in the paper, and you'll be divorced. Get a lawyer.
3. You've got a kid in your custody whom is not exactly your ward,
I presume. Again, this is something which you've got to deal with.
Get a lawyer as this abandoned child is very possibly a "ward of the court".
4. You live in a community property state and property which is in your name is also in his. So thus your Nevada property is just as much "his" property just as his property in DR is "your" property. A Nevada divorce decree will have some bearing in DR, but you've got a sticky situation. You want to disassociate yourself from this marital affliation asap, in my opinion.
5. Not making child payments means he has abandoned his family and might bar him from re-entry. Just staying out of the USA as little as six months can raise the specter of "intent to abandoned his status". The rule of thumb is that staying out the USA longer than 12 months automatically cancels the permanent residency status.
If you are indigent, then call the Clark County Legal Clinic in Las Vegas. Cut your losses of hubby and get on with your life and newly adopted dependent, if you choose. So don't necessarily battle the bureaucracy, but make it work for your interests. That interest is all about cutting those ties that bind just like a hot knife in butter. 1. Offer-in-compromise or bankruptcy. 2. Abandonment for divorce. 3. Adoption, or otherwise KID must go to Childhaven. (Legally abandoned children are not deported but will become US citizens as wards of the court, in general.) 4. Start your life over in Las Vegas.
Is a USD10K foreign property worth the effort? Maybe not, as the DR or NV lawyers get the dough, if the US government doesn't. You're digging a grave of debts and it is not worth the "vendetta" for an injustice at that price? You're going bankrupt just trying to get divorced! Killing two or three birds with just one stone is only going to break the camel's back in humble opinion. That is what I am seeing occurring here.