A1c of 5.6 means your average blood sugar is about 120.
Many doctors would class this as prediabetes.
I believe diabetes and prediabetes are still diabetes (like being a little bit pregnant). You have early diabetes that is not yet too severe.
This is now your golden opportunity to exercise, eat healthy, keep your weight normal and then if you are lucky it will not progress for a long time, if ever.
I strongly recommend you keep up your efforts and also continue to monitor regularly. You should repeat the hba1c on a regular basis (every 3 - 6 months) to monitor your status..
What were the 3 hour glucose test numbers?
testing 2 times a day means nothing, test 1 hour after your highest carb meal and see what your numbers are.