Hi there. It is good that you are aware of the dangers of high blood glucose per your parents condition. I would suggest that you first see your gp with a view to having a HbA1c test, if only to put your mind at rest.
Fasting readings alone are not a good indicater of T2D as the body sometimes loads the bloodstream with glucose in readiness for the day ahead. Try taking readings just before your first bite of a meal then again two hours after your first bite, there should be no more than a 2mmol difference, preferably less. Do this for every meal for a few days and it will give you a better picture of what's going on.
How is your diet? You may benefit on advice given here about reducing your risk of developing T2D.
Best of luck.