oops.. :) but still, S1 and V1 are similar in phase, aren't they? And since that's the case, S/V yields magnitude only (on the real axis). Same for both loads. And since the phase becomes 0 for both I1 and I2 (which is wrong obviously, but I cannot figure out where exactly I miss a thing here) so I can add I2 to I1.
That's probably my problem here. Any idea?