Second game was 5 pt. Battle. He had an Octurion, 2 Sulusts (both with the 2 maximus escort other duties), a Darkner and a Balvarix. I had 2 Omegas, a Hyperion, a Chronos, and a Warlock. I place my fleets much better this time, keeping out of his arcs for the first turn (the Chronos and Warlock were in hyperspace). I jump in on his ass the first turn, line up on the Octurion. The Omegas slowly snipe the octurion while the Chronos weakens the Sulusts. I slaughter him, losing only one Omega.
A couple of thoughts. First, the Duty table only has provision for Haven escorts, not Maximus. I'm guessing that was a typo on your part. Second, where's the rest of his fleet? An Octurion is 2 Battle Points, the 2 Sulusts are 1, the Balvarix is 1, and the Darkner is 1/3 of a Battle Point. That's 4 and 1/3 Battle Points to 5. The Haven's help balance that out, but I'd still be curious as to where the extra 2/3rds of a point got off to. Fourth, I'm guessing you meant the Space Superiority scenario.
In this specific instance, I can easily see how and why you won. First, the Centauri player put all his eggs into one basket, a Fore Beam offensive with virtually no means of coverning his flanks. He also took a Balvarix, which is pretty much a thrown away Battle point given its short range, slow speed, and dogfight-focused fighters. By playing a late-era game in a scenario that gave you a minimum of 36" separation to start with and the ability to jump in, you were able to simultaneously deploy your fleet's primary offensive weapon (the warlock) within range of the enemy and outside of their primary weapon arcs, fire with said weapon, and keep the rest of your fleet outside the enemy's primary weapon range. I don't know what the crew qualities were like on the Centauri ships, but knowing the poor turning radius of the Octurion and Sulust, that would have left only the Darnker and Havens in any position to actually bring significant weapons to bear on the Chronos and Warlock. At that point, the Centauri were pretty much hosed.
I've used that same tactic against ISA and blown up a Victory using my Warlock. Next time, play A Call to Arms or Annihilation, a scenario that doesn't let you jump in. Alternately, try a pre-2261 fleet. I'm not trying to stack the deck, but I believe your second game is close to a best case scenario for EA vs Centauri.