The team lacks developed talent up front. Carolina doesn't have a 2nd line. Hell, they don't have a 3rd line on many nights. All 3 centers, Staal, Rask and Wallmark, each have 1 goal a piece since mid-October. McGinn is a no show most nights. The depth is so thin that Martinook has consistently played somewhere in the Top 9 all year. As a whole, the Canes have scored 2 goals or less in over half of the games played this season.
Brind'Amour is in love with the Teravainen - Faulk - Aho umbrella on the 1st PP, despite years of mediocrity from that trio in that situation. He only budged for 2-3 games earlier in the season when the PP was historically horrendous.
Hamilton is more of a goal scorer than a shooter from the back-end. He's at his best jumping into the rush, skating into space and picking corners. Carolina is a heavy forechecking team that dominates the puck. Even when those rush chances develop, the skill level to get Hamilton the puck in advantageous situations isn't there outside of the Aho line.
These are not excuses, mind you. It's just the context behind the porous production. He is underperforming individually too.