That 1310 form is so the check will be made out to you as the executor instead of the estate of your mother. You should be able to endorse the check and deposit it into your mother's estate account no matter what so the form is sort of irrelevant.
You don't have to file a 1041 until the estate has income or gain and you can pick your tax year when filing the first return so you don't need to do anything until such time as the estate has income of $600 or more.
