Hi Lorrie,
A couple of thoughts: Depending on when you have breakfast, it may well be dawn phenomenon affecting you. This is often thought to be your body's response to getting ready for the day ahead by releasing hormones, some of which raise blood sugar.
Personally I don't think those levels are really too bad given that you are back down to 5 by lunch. If the rest of your readings are okay, you should be fine. Your blood test at review will be the HbA1c, which looks at your average readings over a three month period, so it shouldn't be significantly affected by a couple of hours at 8mmol.
I have heard lots of people say that their readings go up slightly after getting up, having a shower etc. That's why people are advised to take the fasting reading as soon as they wake up.
I know people have different ways of saying things, but going from 5.9 to 8 is not really 'shooting up' and could easily be within an error range for your meter. Even with a low carb breakfast, you're going to see a rise in blood sugar of a couple of mmol as protein can convert to glucose.
Others may have advice on how to try to stop it happening, but if the rest of the day's readings are fine, I wouldn't worry about it too much personally. Sure, I guess it would be nice to have the 2hr readings a little lower, but it isn't going to kill your HbA1c.