The levels are higher than they should be but as you are very newly diagnosed and not yet clued up, it isn't concerning.
Firstly, the morning test should be immediately on getting out of bed (after washing hands of course). Anything you do after getting up, whether it be rushing about, showering, whatever, is likely to raise your levels.
Secondly, exercise also has a habit of raising levels both during and immediately afterwards (depending on a few factors). Best to leave it an hour after finishing to see what happens then. I have never done a 5k run/jog in my life, but even more strenuous housework raises my levels. It is worth continuing though because we all know how good for our general health exercise is.
Thirdly, early morning fasting readings are notoriously unreliable because of our livers. Livers will always send stored glucose to the bloodstream when they believe we are in need of extra energy such as on waking, during exercise, in times of stress etc. It is quite natural and not a lot we can do about it. It is known as the Dawn Phenomenon, although it can occur at any time, not just dawn. If you do a search for this you will find many threads about it. It is annoying!
Use your meter to test out your reaction to food. This is the important thing initially. Test before you eat and 2 hours after first bite. The rise from before to after should be no more than 2mmol/l, preferably less. If you also keep a food diary including portion sizes and record your levels alongside, you should see patterns emerging that will tell you if you have eaten too many carbs. The more carbs, the higher the rise will be.
