Modification of your child support is based on the income that you earn, at the time of the hearing.
Your severance package, is indeed considered income - at least in my state. (Illinois)
You can be required to pay a percentage of that money. I would put that money aside, and have it ready, just in case.
You unemployment benefits MIGHT put you in a position for a temporary reduction of CS.
BUT, do not slack on your actual CS amounts until you recieve your new orders.
You have filed the paperwork, so you might get the relief retroactive to filing.
How soon in your court date?
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My comments are based on my experience. Do not take them as gospel. My comments were meant to illustrate the point that CS is owed, until a judge orders otherwise. I was also intending to point out that he should be prepared for a possible lump sum payment.
IL Dad - suggest that you stay out of advising in states that you don't know their rules.
Michigan is a shared income state; Illinois is a percentage of income state. Michigan does allow for calculations of child support be based upon the number of overnights each parent has, along with a reduction in amount to be paid based on the number of other children in the household.
When you file your motion, you will go in front of the referee. If you disagree with the decision, you can file for a de novo review within 21 days and go in front of the judge.
Depending on your track record of paying your child support, and the economic climate in your county, you may get a temporary reduction IF you are actively looking for a job. The MichiganWorks does have some good programs that can provide training while collecting an unemployment check. Since those programs do allow you to continue having a cash flow, it does demonstrate effort.
Suggest highly that you come in with documented proof that you are actively trying to change your situation.
Now, my X wasn't terribly successful in any modifications cuz well, he couldn't demonstrate that he was doing anything to improve the situation. Therefore, neither the judge nor I had much sympathy. Had he made an effort to try to support his children, then things would have gone much differently.