Well in the question it says "helps with food safety" the only one here relating to food safety is A touched raw meant and i will agree cuz I do that a lot.
It is D.) because when you wash your hands first you're getting all the germs, dirt, or whatever is on your hands, off. Then you go back and put hand sanitizer to then in a sense "clean" it more. Plus who knows what is on that paper towel you just dried your hands with.
When you touch something that is cold the sensory neurons in your hand send a signal to you spinal cord which sends the message to the sensory cortex which is in the parietal lobe.