Thanks for the prompt reply Paul. Yep, I think I missed one critical point in my analysis. The fact that pack ice is around 1.8?C due to the salinity of the water and, as you say, doesn't take much to melt it. Hmmm! Back to the drawing board!
I do hope some scientist type can comment on my idea that some melting could be caused by stray microwaves. I think the idea has some credance due to the fact that the radar hotspots in the Arctic seem to be inline with North America and Northern Europe longitudinally directly under the magnetic field lines. Maybe this localisation is only due to trade winds blowing warm air northwards or something but I'll tell you what, ice melts pretty damn quick in a microwave oven!!