Neck surgery on 6/11/14 with plates and screws, throats still numb and choke on food is this normal?

Possibly: If the surgery was done through the front of your neck, some numbness can result and should get better over time. Difficulty swallowing is less common. See your surgeon. You might need a swallowing study to evaluate. For now, chew carefully and eat soft foods to avoid choking. Aspirating food or liquid can cause pneumonia, so use extra care and don't delay seeing your doctor.