In my group profile I cannot change the order of the profiles. Why?

If the group profile is set to run the profiles in parallel (all at the same time) then you cannot change the order of the profiles. This is because there is no point ordering them as they are all going to run at the same time, therefore there cannot be a runtime order. To have profiles run in order, i.e. one after the other, you must untick the option to run the profiles in parallel.