You may be T1 but it’s far from proven. The only way to achieve certainty is to have the appropriate diagnostic tests done. T2 can sneak up on you, silently, until it clobbers you dramatically. I was diagnosed when my vision went quite suddenly south. Within weeks of getting my BG under control, it cleared up. (T2 has a very strong genetic component, also, and I note that your Dad has it.)
Too many people are misdiagnosed based on presentation rather than definitive tests. One way or another, it pays to have a confirmed diagnosis. Not only is it essential for determining appropriate treatment and management strategies, it can have profound insurance ramifications, i.e., what they will pay for and what they won’t.
You may find these links useful:
Melitta’s Top Ten Tips for the Newly Diagnosed Person with Adult-Onset Type 1 Diabetes
Positive Autoantibody Tests Indicate Type 1 Autoimmune Diabetes
A Field Guide to Identifying the Misdiagnosed Person with Type 1 Diabetes