It is likely a civil and not a criminal matter.
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Failure to pay back a debt is not a criminal offense, although they will likely commence an action to secure a judgment against you for the amount due. If you are the same person who posted a similar question regarding bankruptcy, please see that answer as well for additional details.
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My hunch is that it is not criminal (unless there is fraud) but I suggest you post this in the New Jersey Avvo criminal section.
I am a former federal and State prosecutor and now handle criminal defense and personal injury/civil rights cases. Feel free to check out my web site and contact me at (212) 577-9797 or via email at Eric@RothsteinLawNY.com. I was named to the Super Lawyers list as one of the top attorneys in New York for 2012. No more than 5 percent of the lawyers in the state are selected by Super Lawyers. The above answer is for informational purposes only and not meant as legal advice.
My experience with casino debt is that they will likely seek to get a civil judgment against you and collect the debt that way. Speak with a local attorney that specializes in consumer debt defense and/or bankruptcy.