To clarify though... African-Americans dont really have a different "culture"... The United States of America is one culture, with small little differences. Its in the context of history that African-Americans and other Americans seem different.
You'll be surprised how many white people are experts in black history, including music, food, religions, etc.
Its sort of interesting to find how many white-haired old white guys who wear tweed pants and teach at universities happen to be experts in African-American studies and cultural anthropology. Guys you wouldn't look at and think "Oh, they know every song by Notorious BIG!" but they do, because they know everything about African-American influences, and they're doctors of their field.
The more culture, the better! You aren't limited to ANY sort of culture just because you are or aren't born into that group.
I see no problem with that.. People are attracted to different people/like different music/have different interests.. Yours just seem to evolve around black people, but hey, I bet there are tons of people who primarily draw white people, primarily listens to "white" music and is interested in European/American culture.. Even some black people.. I mean black people are really beautiful, I think so too.. And I actually think it's great that you want to raise appreciation for black people..
I don't see what's wrong with that. It's not like you're imitating the lifestyle or trying to claim you were "born the wrong race" or some bullshit like that. People are going to be drawn to cultures different then their own, especially if they don't feel a strong connection to their own.
It's probably fine. It sounds better the way you phrase it, so consider that when relating to other people. Compare 'I am quite obsessed with black people' with 'I'm really interested in African-American/Afro-Caribbean culture.'
I'm sure you have other interests as well. Try not to worry.
I don't think so. In my opinion, the term "___aboo" terms are reserved for people who are only interested in the shallowest aspects of a culture such as only the cartoons, only the music, etc. While your interest might (or might not be, it's not my place to judge) be unusual, it doesn't necessarily mean it's unhealthy.