Above the 1982 date is "DeWitt c 82". I'm assuming that is the name of the medal designer..., not the private mint that struck the piece.

To the left is a logo for "United States Weightlifting". At center top is a logo for U.S.G.F. which I'm assuming is US Gymnasts Federation. At right is a logo for what represents Wrestling. And in the center is USA/ABF logo for American Boxing Federation?