So, after some checks they sent me a replacement. I tried it at home and - yes, the same pink cast. Completely devastated, I decided to take it to work and try with my 24" HP monitor (connected to my MacBook).
I took it. And I tried. And it did work!!! Now my MacBook monitor and HP monitor look if not the same, but very similar at least. Actually, I did a very simple trick to make a non-pro version of Huey to work for two monitors: apparently, Pantone guys didn't know you can change the primary monitor (and it calibrates only primary monitor) just by dragging the menu bar in monitors' settings. I did it twice and it worked like a dream!
Seriously, colours are not perfect. I can see it even though probably none of my colleagues will see any difference after working with calibrated monitor for couple of hours. But – it's much better than original non-calibrated colours, and it makes me happy.
One day I'll buy a semi-pro Eye One Display, but until then I'll live with my Huey.