What is the ruling on the wife's actions of lying, fabricating accusations, exploiting the law to harm her husband and deprive him of his legitimate rights, and remaining in a foreign country without just cause, and is the money she earns under these circumstances lawful or unlawful?

What you did by accusing your husband of something he did not do is an injustice from which you must repent by abandoning the sin, regretting it, resolving not to return to it, and rectifying the wrongs. If your husband was harmed due to your false report, then you must retract your statement to the police and bear what he lost, unless he forgives you. Your family should have verified your words. Your repentance requires seeking your husband's forgiveness for what you falsely told your family. If you fear a greater harm, it is sufficient that you explain the truth to your family and clear him of what you falsely attributed to him. The money you earn is permissible as long as the work is lawful. Our advice to you is to present your case to scholars at the Islamic Center to mediate between you and your husband, if possible.