I answered the question about fur here.
If you are working at a place where animal slaughter is part of the business practice, then you are doing it for your living. Only you can decide if you wish to earn your living this way, or if there are other ways that offer a similar living while not creating pain and suffering for a non-human creature who does not seek or deserve it.
When it comes to farm-raised mink, it is hard to draw a distinction between this and farm-raised food animals, of which I do partake.
But when I see the kind of women who walk around in mink coats, there is definitely part of me that would enjoy telling them the fur looked better on the mink.
Personal choice. Make it, own it, live with it.