One of my biggest gripes as a diabetic is having to eat when I am not hungry!! It really does sound like you are having lows since you say that eating makes you feel better.
You need to go in and talk with your Dr about this. They can give you tips like eating high protein snacks to help you deal with this. They can also rule out any other condition that might be causing this.
In the meantime, it would be a good idea to carry a high carb snack with you everywhere you go. You can make it candy or tablets just for raising your blood sugar called Glucotabs. Good luck