Really nice. I think you should warp the projection of the continent on the globe though, at the moment it's identical to the main map to my eyes.

I don't have any problem with rhumb lines on continental maps, though I always wonder if they're accurate (on all maps, not just continental ones). This page has a good explanation (though I've only skimmed through it), interestingly it looks like they should only be straight on a mercator projection.