I'm probably darker than you but I don't really wear any deep red lipstick. Lipstick actually makes your lips look bigger/fuller which I think for me isn't necessary. Although if I do decide to put it on I'll only let it tint my lips it's never too dark/deep. It's subtle and almost unnoticeable. I'm probably too used to wearing very natural looking makeup, but anyways. I don't know if this helps at all, but if anything just make sure you choose a color that suits you. The right color can make a huge difference.
Answering the initial question, yes black girls can look good with red lipstick. Just go for it.
It depends on if it looks good on you...That goes for any race. Red Lipstick is not the easiest color to pull off and everyone can't do it, but it's not because of your color, it's because..Well it just doesn't fit. But I am all for trying new things. I say go for it and see if you like it. I am black, and wear red lipstick and love it and I get tons of compliments. I have a white friend who looks crazy in it and vowed to never wear it again. So it doesn't depend on your color. It depends on how you rock the hell outta those lips!