Your breakfast was virtually no carb. Which is fine for type2's (or for everyone else, for that matter), but you took fast acting insulin, which is used to process glucose in your blood. You didn't put glucose in by not eating carbs, hence the hypo.
Then when the hypo occurred, you overcompensated with carbs (happens to almost all of us), hence the high bg.
On mixed insulin you should follow an exact eating pattern with the same amount of carbs at the same time every day because you take the same amount of insulin at the same times every day.
Most type1's nowadays are on two separate insulins instead of having them pre-mixed. That way they can have their basal need of insulin covered by basal insulin, and take quick acting insulin depending on carbs. For instance, I could have two plates of mozzarella and cucumber without taking quick acting insulin. I'd still need my long acting, or basal insulin though.
I'm not sure how his works for type2's, but I'm not surprised you had a hypo after taking quick acting (in your mix) without eating carby food.