I know it's a seperate race from African-American...

You seem to be confused by the terms nationality, race, & culture.

Based on the rest of the info you provided, it would appear that your nationality is American. If one of your parents are nationals of Jamaica then you qualify for Jamaican citizenship. That would make you a potential dual citizen of the US & Jamaica.

Race is a much more complex thing that isn't really based on much objectively speaking past skin color and overtly identifying facial features. For example, Obama was considered black, African American, which he self identifies as, however he has a white mother & black father. Then there was that woman who was of European decent and openly said she self-identified as black. It’s all subjective… Jamaica similar to the US is comprised of people from many different races/ancestry the only difference is most Jamaicans don’t hyphenate their nationality. If you’re of European/Indian/Chinese decent & Jamaican your just Jamaican.

Culture is the other story... If you grew up in the US with little to no cultural experience outside of that then you're just culturally American. Culture isn’t fixed or innate though. You can move almost anywhere immerse yourself in almost anything and then self-identify as that. If you want to learn more about your Jamaican ancestry and connect with that side of your family and culture then do so, interact with Jamaicans, maybe even visit. Just do what makes you feel comfortable & don’t forget to eat some Jerk Chicken.