1-2.) If it's working conditions, the show has done a terrible job showing it. She's said they've been "beaten and oppressed" (I think those are the words she used), but it's not compelling nor will it gain my empathy if they are just words and with nothing behind them to actually get me invested in this "cause" which they've danced around the whole series.
3.) I'm talking about the rebels who are fighting against Gjallerhorn. We know Kudelia is from some upper class family on Mars, but I'm having a hard time believing that alone is enough for people to rally behind her for their cause, whatever it is.
Yeah, I think they're trying to weave a "The oppressed VS the oppressors, no matter the issue!" situation, but I don't think WE really have been pushed to feeling like things are all that bad. We get hints (Child soldiers here, lame living conditions and mentions of people escaping the slums there), but we don't really see much actively happening.
I actually wished the "bad guys" we more obviously, organized and evil. The most we see is evil talking behind the scenes, but we could really see things like people being killed off as they try to figure out Tekkaden's weaknesses, or people obviously in dire straits.
As far as Kudy and the rallying behind her, I think it's just the fact that she's a person attached to people in charge, who want to fight (politically?) for them. I feel like the only thing that makes people impressed with her is that she's obviously been the target of assassination over and over.
Overall, the show does feel like it's depending on character designs, fancy words, and the basic framing of a story to carry it. I don't really feel much for Add to dictionary as an entity yet either, and the big bads feel more like big misunderstandings, unless they're comically evil. Gundam does like to have relatable good and evil sides, but I think the evil is a bit too soft from our angle, right now.