I get heartburn every time I eat carb foods (pasta, breads, oatmeal etc). Is this gluten related? I don't experience other gluten allergy symptoms.

Possible. Try gluten-free oat to see if causes the same symptoms. Even though you may not have the full-blown symptoms,and heart burn is not the usual symptoms in gluten intolerance, it cannot be totally ruled out. Nonetheless it would be a good idea for you to consult a doctor regarding these symptoms.