When your husband died, his estate inherits the lease. I’m guessing you will solely inherit his estate (unless he left assets to other via a will). The estate will have to settle any debts or maintain them.

So, Kia will likely have you sign paperwork to assume the lease. Since you are the executor of the estate, the decision is yours. You can keep the lease and continue payments or you can surrender the car and break the lease. If you break the lease, you will have to pay any fees or depreciation to Kia as per the lease agreement.