At quick glance and without latitudes to judge by there isn't too much trouble.

The basics to consider... Plot your equator and tropics lines at approximately 23.5 degrees north and south of the equator and the arctic circles at around 66 degrees latitude. The Tropics lines are particularly important as these are the extents that the sun rises directly overhead seasonally north and south. Most deserts occur somewhere around the 30 degree line, although that is not a hard rule. This is largely in part to how Hadley Cells and the ITCZ function, creating High Pressure zones at around the 30 degree mark. Basic rule: High Pressure equals dry, Low Pressure equals wet. The ITCZ is extremely important in weather, around the equator and all places it travels. The ITCZ swings north and south seasonally, with large bodies of land pulling further in either direction, as land heats more than ocean.

Is there land under your northern arctic region? Or is it ice cap?

Other basics:

Ocean surface currents are clockwise in the northern hemisphere, counterclockwise in the southern. West coasts typically receive cool water currents (dry air) while east coasts tend to have warm water (wet air) as evaporation occurs more rapidly with warm water.

Mountains create rain shadows to the lee side, as winds crossing a mountain going from west to east will dump its moisture as it rises on the west side, leaving the east side dry (see the western US). Towards the equator where storm systems more often travel east to west, this flip flops, causing a rain shadow on the west side. The Himalayas create a rain shadow on their north side. Here is another misconception that I have seen on the net, which is created by how Earth's land tends to be northern hemisphere... and that is that all weather in the southern hemisphere travels east to west. This is incorrect. There are westerlies in both hemispheres as well as the jet streams that travel west-east.

Beyond that, without specific ways to reference regions on your map, it is difficult to accurately speak of specifics.

Well, that's a good start to thinking. A real nice site to check out is:

http://weather.about.com/gi/o.htm?zi...WeatherPat.swf