Woke in morning feel shaky weak with fasting blood sugar 132. Some mornings I self check, its 115-120 and im shaky. A1c test 5.4. How to address this?

Numbers fine. The fasting numbers you have are not bad if you have diabetes, and the a1c is in the non-diabetic range of normalcy. You may be feeling sick and shaky for another reason. Are you diabetic? Was you sugar high before and now it is getting controlled with meds or diet, and your body is not used to the lower level, etc.? See dr. And get eval. Best wishes.
Stop checking. If your a1c is 5.4 you are not diabetic and I am unclear why you are checking your sugars.