I would definetly start him on the coconut oil!
My bully is 5 1/2 months old I started giving him coconut oil a month ago, when he was diagnosed with D-mange and began loosing his fur. I use organic, unrefined, cold -pressed virgin coconut oil, I found at my local discount grocery store. I started him off with a tsp a day for a week, then 2 tsps the following week and now he's up to 1 tbls daily. He eats it right off a spoon or sometimes I put it inside his kong toy. I tried putting it in his food, but he was not going for it. He's a very picky eater! I not only give it to him to eat, I also use it on his coat, esp where he has patches of fur loss.
Some other things I do is wipe his face every morning with a small warm wet cloth, wiping dry afterwards. I was told to only use plain warm water and nothing else. I give him filtered water and he eats and drinks out of stainless steel bowls.
Since I use the coconut oil on his fur I will rub a lil on his face and nose. Trying not to rub to hard, as he gets irritated really fast.
Not sure if all this helps, but i'm sure it doesn't hurt.