It looks good. You have some artifacts as a result of .jpg compression, but I'm sure that's just because you're posting a reduced size image.

Is this going to be a full world map? Because in that case, you're going to have to think about how you're going to link the eastern and western hemispheres at the edges. Personally, I don't find the dotted line from Kamchatka to Alaska an elegant solution, and you could dispense with it if you decided on a different projection.