Nothing in the law of any state requires an employer to pay out unused sick days unless a legally binding contract or CBA specifically says otherwise.
In your state, any vacation days you have actually accrued are due to you on termination. In no state does the law require that you be paid for days you would have earned had your employment not terminated, with the same caveat.
If you had actually accrued days that you have not been paid for, whether the old ownership or the new ownership must pay them out depends on the terms of the sale.

