Your pictures are pretty good. If you enlarge the 1st one, you can see a lot of patterns - probably "historical" cracks that have been painted over - probably a number of times. On the 2nd picture, you can see that the cracks are "dirty" - meaning they've been there a a while. Also can see painted over cracks. New cracks would have "clean" breaks.
In one or two places,it looks like there have been lots of cracking - maybe serious but are now covered with the paint. Do you know what kind of paint is presently on the building?
This could have been a bad stucco job to start with or you have two different kind of substrates. Even though the stucco is over a possible rigid substrate, how is it fastened? Without doing some opening up of the areas, you might not be able to determine this. Is there moisture getting to the interior - with the accompanying mold?
See if you can find some historical photos of the building. Newspaper morgues work pretty good as well as your local historical society. Was the building always covered with stucco? We have a 1853 +/- brick that was covered with stucco in the 1980's, but there are pictures showing showing the same cracks as we see in the stucco on the front, before the stucco was applied.
You may have some soil movement with the seasons - but I think that it would see more serious cracking - but the paint might be stretchable.