Exactly, lying on a background check is a felony, but no charges filed. Then, his dead brother's wife (the aforementioned one that he was banging) took the gun and threw it in a trash receptacle of some sort that was right across the street from a school. Still, no charges filed.
I will say that Hunter succeeded in his book deal earlier this year. It might not have set the best seller chart on fire, but he made his money up front just based on his name.