You also had Maurader's Fracture as a cross class action, which could be a third DOT. Both it and Phlebotomize were 18 seconds. I was checking it out through waybackmachine.
It seems like the main difference in your rotation was that you'd use Heavy Thrust to buff your damage before applying DOTS as needed and then going into either your standard combo, or your Impulse Drive > Disembowel > Chaos Thrust combo, which would inflict a piercing resistance down debuff through Disembowel and Chaos Thrust's DOT for 30 seconds each. You also had more personal buffs to apply. Life Surge was there along Power Surge to enhance your Jump damage, Blood for Blood which increased both damage dealt and damage taken, and Inner Release as a cross class action from Pugilist which increased critical hit rate. There were also a bunch of defensive things as well, as it seemed like there was this idea that a Dragoon could semi-tank in some circumstances by being able to wear tank gear and have very limited defensives, but that was never done by players and never explored in any updates afterward.