Real Estate Law
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I am not sure that I understand your situation. Do you own your home, or rent it? What do you mean by "I pay space rent"?
In that case, the rules and regulations of the community which owns the real estate control the rights of the home owners . Such rules and regulations are legal, but they must be applied to all residents equally and they should be reasonable. A court would probably find a restriction based on owing back child support to be unreasonable, at least in my opinion. You can file suit against the community to declare the rule to be invalid.