First off, because you have High Blood Pressure, you already know you have to stay away from high amounts of sodium because of the caused water retention. If you keep your water and fluid intake high and your sodium low, your high blood pressure may even decrease.
Because of hypoglycemia, obviously this makes things a little bit more complicated. Since I am not an expert on diabetic and blood sugar related specialized diets, I do not want to tell you the wrong things. But what I can tell you is cardiovascular activity for a longer time with medium intensity will surely get you the best results. Once you begin to sweat, that is the optimal effort that you want to put out at time. Over time, you will begin to sweat later and further into your workout because of progression into weight loss and cardio-vascularity. So for instance, if you were to workout today and begin to sweat at 50% effort at 10 minutes in, step it up a small bit and continue to work out consistently. If you feel light headed, take a break and eat a snack.
So if you consume more water, less sodium, and concentrate on more endurance focused activities, you will definitely experience weight loss.
PS, be patient, these things take time.