My sugar blood test =101 after 12 h fasting and the hba1c =5.3, I am so much worry about this, should I be? Labs says that normal range is 75-115?

Not to worry... These values are within the expected range, so i see no need to worry about them. If you are concerned about possibly having diabetes, due to family history, then i would suggest you see your primary care physician to discuss these concerns.