Although a single random blood test would not normally be enough to make a diagnosis a non-diabetic's blood sugar level would never normally reach 11.1 mmol/l. Your doctor will, undoubtedly, request you to attend for an OGTT (Oral Glucose Tolerance Test). This is where you fast overnight, and then have your blood drawn. This gives a baseline on which further blood tests can be compared. You'll then drink a sickly sweet syrup, called glucola, and then have your blood drawn at hourly intervals. This will show how efficient your body can deal with a sudden influx of glucose. (Our body breaks down foodstuffs ... carbohydrates and starches ... into glucose. It's what we need to survive. Muscles use it to create energy, and the brain needs it to function.)
From the results of the OGTT your doctor will be able to see if you are glucose intolerant. (That's just another way of saying that your body can't efficiently deal with glucose ... usually due to insulin resistance in type 2 diabetics.) (Our body needs insulin to be able to transfer glucose from the bloodstream into the body's cells so that it can be used. Sadly, with insulin resistance it doesn't do this very well.)
If the blood sugar levels reach very high levels, you doctor may also request another blood test to look at C-peptide levels. (C-peptide is only produced when insulin is produced. If none is being produced, then this would be a good indicator that you are type 1 diabetic but, before we start jumping to conclusions, I'd say let your doctor get the results and judge for him/herself. After all it is ONLY a practicing medical doctor that has the authority to diagnose diabetes.
When the glucose level in our bloodstream is too high the kidneys try to get rid of it by excreting it in urine. This is probably why you're peeing so much. Of course, with your peeing so much this leaves your body dehydrated, hence the need for you to drink more, which explains your thirst ... unless your exercise is causing you to lose a lot of fluid, via perspiration.
IF you are actually diabetic, it's better to find out now, and begin treatment as early as possible as this will deter any complications from setting in.
I wish you the best of luck, mate.