Well, I went ahead and did my take on the currents and the pressures to get an idea of how the climate patterns should turn out in my view. The oceanic circulation ended up similar to the one you did, with some differences here and there. Keep in mind that doing ocean currents for a fantasy world is a matter of interpretation to some degree, so this isn't necessarily "more right" than the original. That said, feel free to adopt whatever features you like.
Currents:
In regards to the atmospheric pressures, it's largely the same story: the overall pattern is similar to the pressure maps you made, with differences here and there (some of them affected by the slightly different currents).
Pressures:
So, looking at the climate maps, the temperature maps are probably ok, but the precipitation could definitely use some work. Looking at the climates, this turned out to be an extremely arid world, which probably doesn't make sense with these landmasses. The first thing that pops out is the equatorial dryness, the areas covered by the ITCZ should receive vast amounts of precipitation. Although looking at the topography (which is criminally simplistic, indeed), you appear to have a lot of coastal mountains (maybe a bit too many, some of those could be partially island arcs, for example), but I still think the interiors would receive more rainfall than 0-10 mm during the wet season.
Especially the eastern continent, which doesn't have giant mountains all along the coast, should be a lot more wet along the equator. The mid latitudes seem suspiciously dry as well, even well past actual desert latitudes. Some polar steppes turn up right along the coastline of the southern continent, which doesn't seem a likely scenario. So I'd say you could definitely increase the precipitations almost everywhere beyond the desert latitudes (20-30s).