You know,I thought about that,making her the daughter of a expert,but then people would ask why not kidnap the exepert?
Actually, what An-chan said would make it a little more plausible for them to kidnap a kid. See, right now, you have Team Galactic kidnapping a kid who's pretty much unrelated to the expert. Sure, she's still a kid and the expert's student, but she doesn't hold quite as much significance the daughter of the expert. Not to mention kidnapping a student (even a random one instead of the expert's ace pupil) means more people get involved. It's no longer just the teacher focusing on the kid, but Aleka's
real parents would most likely get in a tizzy over the fact that she's disappeared. Galactic could threaten the teacher into keeping quiet about the deal, but the situation becomes even more of a mess the more people there are involved -- namely, the parents, who won't be as easy to bully into silence due to the fact that they'd actually have to be notified that their daughter had been kidnapped in the first place.
Not only that, but your audience most likely
wouldn't ask why they didn't just kidnap the teacher if Galactic kidnapped her daughter. The reason why is because this is actually a plot frequently seen anyway. That is, having an evil syndicate kidnap something precious to an expert in order to blackmail them into cooperating has actually been seen in a lot of books and other media. It'll still work, of course, but I'm just saying it's easier to swallow.
They have books and computers,when I give a discription of the headquarters,you'll see (aka read) that there's sevral bookcases and computers,and stuff of that sort.
If they have a library of their own (and, most likely, people who know what to materials to collect and how to read said materials), why do they need to kidnap/blackmail anyone else? O_o It would probably be far easier just to use their own library and the people who maintain it to figure things out themselves. For example, if they have a picture of an inscription, all they'd have to do is go to their own library, slap it down in front of their scholars, and go, "'Kay. Do you have any dictionaries that tell us what this says?" And the Galactic scholars would most likely be paid to do that sort of thing anyway, so it'd be easier to have them go, "WHY, CERTAINLY, SIR." than someone who didn't work for Galactic.
As a tip, sometimes, the simplest explanations for things is the better route. I'm not saying simplify your story, but if you have to go into massive amounts of detail to explain why something is the way it is outside of what you say in the fic or if your readers are pointing out something as a plot hole when you insist that it'll be explained later on, chances are, it's something that doesn't quite hold water, if you know what I mean. Or, in short, I'm saying the simpler you make things for yourself, the better. That means making it clear to the reader right when you say things that there's most likely a method to your madness and that it's not just a plot hole. Leave clues that will make readers come up with possibilities, rather than ask questions you know the story should be/will be answering. Things like that.