Good for your Dad, yes that is controlled, if he gains back the weight and or goes back to his old eating habits his BG will go up again.
My dad was diagnosed with type 2 and was put on medication for it several years ago. But, he lost weight and is very careful with his diet, and is no longer taking the meds. He may still be a diabetic, but I think in his case, he is considered "controlled".
You are still fairly young. Please also have your dr test for adult onset type 1 - they can test for whether your insulin levels are high or low, and this will give some indication if it is type 1 or type 2. They can also test for antibodies.
Adult onset type 1 is more common in women who had gestational diabetes.
It the oral meds are not controlling blood sugars well, do not hesitate to ask your dr to let you go on insulin. Insulin makes control much easier and better compared to oral meds, in many cases.
Anyway, please be aggressive about diabetes management. You havew young kids that need you to stay healthy.
You will always be T2 you can control it and have normal BG numbers, then you will be a T2 who is in control. T2 never turns to T1 T1 is a different disease. A T2 can become insulin dependent, that is not T1 just because you need insulin.