Can you provide pages and indicate which rules you feel are being contradictory?
Sure.
Page 131 the Chemical laser footnote reads, "Chemical lasers are treated as ballistic weapons rather than energy weapons and therefore do not require power amplifiers or heat sinks on such units."
Page 126 the Handheld weapon footnote reads, "Each energy weapon in a Handheld weapon requires a number of heat sinks equal to the maximum heat it can generate. Any other weapon or item does not require heat sinks."
Every other book listing chemical lasers (Battletech Manual page 124 for instance) has them as DE (direct energy).