You can show him if he is one of the showable colors, Ruby Eyed White or Tortoise. Also, he can't be neutered.
What makes a Lionhead showable:
At maturity, a Lionhead rabbit should weigh no more than 3 pounds, 12 ounces, and its ears should not be longer than 3 1/2". To be shown, a young Lionhead has to weigh at least 1 pound, 10 ounces. Judges look for a Lionhead that is compact in body and posed in an upright manner, with a high head mount and erect, balanced ears. They should have good depth of body and be well rounded, with medium bone. Their mane should be of lively wool that is dense, and is present all the way around their head. The fur on their saddle should be soft and glossy. A complete breed Standard of Perfection can be found on the official ARBA website. Here is some of it I found online: