Occasionally, I take every spot kick (aside of 2nd free kick of course) for Fiorentina. But that changes every now and then, depends on me and my "competitors'" conditions I suppose. I am constantly responsible for at least one spot kick though.
It all depends on how good you are, obviously, not that hard to attain. You should get the spot kick duties once your kicking stats reach 85 and above.
As for the skipper armband, never got one. Of course I am captain every now and then when substituting a captain, but that doesn't count does it.