I doubt that a deer would have a serious run in like that with barb wire. They can jump a 7ft. high fence with little effort, I don't think they would have any problem with a 4 or 5 strand barb wire fence that's waist high.
Looks like scratch marks to me either from sparring with another buck or getting his tail kicked by one, or a run in with a predator. Either coyote or bobcat would be my best guestimate. Bobcats will take down a deer if they have nothing else available to them or a litter of hungry little mouths to feed.
Coyotes will take them down whenever they get the oppurtunity.
If the pic was taken in the spring I'd say it was losing it's winter coat, but since the pic is in January it's most likely a run in with a predator of some kind. It's amazing what these animals go through on a daily basis.