1) TT built the drone fleets, and there is some speculation by the bar historian that they may pre-date the Collapse, as they were put to use in huge numbers very quickly.
2-3) There is no clue on this one, possibly the Omega is to AI what AI is compared to a human. But to be on point, there is no in-game clarification. Pseudo-deity makes sense I guess
4) It's built by TT as a black project. So very unofficial and secretive by some bigshot or another.
5) The Alpha core in the Zig is dubiously responsible for a possible core meltdown signal, it denies its involvment. The Beta core in a Galatia mission holds the research crew of a secret research outpost hostage. This can be solved in a number of ways, one if which is for the player to promise to take it to Omega, to which it surrenders. Can't recall any other AI core story directly related to the player (except if you want to remove an AI admin...).
6) It's in the Guardian's description. That's as objective as it gets.
7) We know TT likely did not understand them fully, but Scylla and co are ahead of that. The rest is sci-fi lingo.
From a lore perspective, dormant state is better for long-term preservation. As for the neutral fleets, scouting behaviour as opposed to hostile fleets' guarding behaviour.
9) For one, their bounty texts indicate, that they normally should not have hyperspace capabilities. It's not explored deeper than that.
10) We can speculate, but likely, as referred to in bounty texts, far away systems were not economical to cleanse, so instead the war was declared won.
