If you read the severance package paperwork and you signed it, there is a clause that basically states that "While Sears intends to fulfill the severance in full, it can stop it at any time and for any reason"...therefore, if they stop it due to a chapter 7/11 etc ....you could file a complaint but I think it would get thrown out by the court due to that severance package agreement. Hopefully you filed for U.I. if in Illinois and at least you will receive that while looking for another job.
Can anyone confirm this?