Blood sugar at 136, 14 year old female?

I'm 14 female, my father is diabetic. For the last hour I have been extremely shaky so I checked my sugar using his kit and it was at 136, I haven't ate in about 3 hours and only drank water. My dad looked upset, like it was bad. Is this something I should worry about? I have constant thirst and my cuts don't heal easily at all. If I don't eat for a while i get dizzy and sometimes faint. Should I be checked for diabetes?