I would suggest beefing up the thiner wires, like from that 9v thing. I used wires that small for my 20w halogen and they caused ridicules voltage drops (resistance). And its basically a free mod and better batt life.
So the fatman can handle up to 1A, and 3 seouls is like 10v (series), and you are feeding the fat man 7.2v (right?). So are you sure the leds are getting 1A? I am sure its really bright either way since its 100lm at 350mAh (per led).