To echo many of the sentiments here:
1. The day chaining was difficult for those who could not get on every day or were on vacation. Event would have been better if it had gone a full 2 weeks or so. No more than 15 days, to keep it new and fresh, with the chained quests only through the first week (to give second-week jumpers a fair shake.)
2. Persist the vendor another 3-5 days, for those who may have missed the end. Sure, it sounds strange, but there are STILL people on our server trading DNA. Give the player commerce network some additional time to play out.
3. Lock the random box rewards to unique, so the loot table ignores ones you already have. OR, make the random box rewards tradeable like everything else. Someone on our server had FIVE QUINN SKINS, and no Warrior (much less the intent for five.) I would have loved to buy one from him if possible.
4. As far as environment went, spot on. It was sudden, random, and completely like an outbreak would work. The news reel was a great touch, as was the Fleet announcements. Maybe... space the ambient announcements a bit more, just to give it less "in your face" on the fleet; let those who enjoy cognitive dissonance the ability to ignore the happenings in the rest of the universe.
5. I agree with a previous poster's sentiment: the announcements could have been galaxy-wide. I should have heard about it on Corellia, or Voss, or Korriban. Every time you hit a spaceport or station, they scanned you; it would have been great to hear a news burst ambient in that area, or a viewscreen to get the newsreel.
Overall, I loved it. Despite some of the nay-saying, it did not impact my normal questing/RPing/gaming at all, and I was able to indulge the event to my level of enjoyment. Another day or two, and I would have had some alts get the title, but I got it on the one that mattered. It was well-handled and thought out for the first random world-event for this game.