Nausea is a common side effect of some medications used for diabetes, however it is also associated with diabetes itself,
and also other problems such as reflux
and heart disease. If the nausea continues
and does not seem to be related to either high or low blood sugars, speak to your doctor about this being a possible side effect AND start searching for other causes.
In regard to the eating, perhaps a consultation with a diabetes nutritionist will help in getting you on the right path.