Very much yes, please go and get tested for sugars- in your case simple fasting and 2 hr post meal sugars will confirm if you have diabetes
(no need of oral glucose tolerance test
). Also get HbA1c
done for records. All the symptoms you have mentioned here, with family history of diabetes, direct one to get the sugars done.
Wish you all the best. Eventhough you get to know about sugars, you must be knowing that following doctor's advice carefully will help you lead normal life. So do not worry and take it positively.