Let me answer your questions, though it's quite a long time that you posted this message. First of all, an A1C value of less than 6% means that you are not a diabetic. Further, a fasting value of 74 mg/dl is not absolutely low. It can be considered relatively low for a person who is a diabetic and has taken an overdose of oral hypoglycemic agents or insulin the previous night.
Your symptoms are suggestive but not specific for Diabetes and hypoglycemia. Do you have a family history of Diabetes from either parent's side? Are you in ideal weight for your height? These are all more important when you think of Diabetes.
So, I suggest that you go for an Oral glucose Tolerance Test, which is the gold standard test for diagnosing Diabetes. Along with that, you can do a fasting lipid profile, repeat your A1C (preferably in another laboratory), kidney function tests, liver function tests, serum electrolytes and a complete urine examination. Further tests can be decided by your physician when you meet him or her, based on your symptoms, physical examination and the investigation reports.
Let me know the results too! Good luck! Get well soon!
Dr J Vijay Venkatraman.