When Javi shoots the sheriff in the head, blood comes out of the back of his head, which lands on the glass door behind him. Yet, no bullet also comes through his head to punch through the glass. In order for the blood to come out of the back of his head, the bullet would have had to travel through his head and made an exit wound. Only then could blood have followed the bullet and landed on the glass. But if the bullet came through his head (thereby, making an exit wound) then it would also have continued on and gone through one of glass planes in the door.
The opening scene shot from above the highway the family is traveling on shows forests full of longleaf pines. However, longleaf pines do not grow within 500 miles of Missouri (but are plentiful in Georgia where the filming takes place).
Ruth's motel is hardly 'big enough' to launder a significant amount (volume) of money, like a casino might be; and, most motels require a credit card, not cash, for payment.