I'm probably gonna sound like an idiot, but anyway....

Generally, yeah. It's kind of like how we refer to the human race as "mankind". It's also like Spanish! Masculine refers to both boys and girls, whereas feminine refers to only girls. I usually try not to do that. Idk why, I just refer to gays (chicos y chicas) as "LGBT" rather than simply "gay people". Simply a habitual thing, dunno how common it is.

Yes. Don't worry, I ask my daughter seemingly obvious 질문 all the time. She's not my only authority of course, but it's helpful as she's usually around. Plus it gives her the opportunity to make fun of me.

I've always referred to Gays as just males and 레즈비언 of course as just females. I know that isn't completely correct but it is just how I've always pretty much seen it as.

Yep. I think it's cause often people think of two males when they hear 'gay', so the word lesbian came to exist. Not sure if that's true 또는 not, though.

Well, the term "gay" usually means any homosexual person, but lesbian is probably strictly female. So 당신 can't call a gay man 또는 boy "lesbian" because it wouldn't make sense. But I usually would call a homosexual girl 또는 woman "lesbian", but it's up to you.