Obviously Playboy have a rabbit logo.. But I'm guessing you don't mean that right?
I looked up 'outdoor and country' clothing brands because of the Barbour connection.. But all I could find was logos with foxes. Horses, pheasants even.... But no bunnies or rabbits!
One thing it might be is that some organizations use a rabbit logo to show that a product is ethically made and that no animals were harmed in making it.
Sometimes these logos appear as labels on clothing too:
Otherwise, maybe try and find a picture of a similar outfit and upload it on here and I will do my best to try and work out where it originally comes from as I would really like to solve this mystery.