First of all, it sounds like you are not very sure what you want to study in graduate school. You say that you studied business but are interested in “astronomy, archaeology, quirky things that only America has.” Have you taken extensive coursework in either of those areas? Because if you haven’t, you aren’t competitive for those programs no matter how good your grades or test scores are. Furthermore, if you want to work for a certain type of company you’ll want to attain a degree that that company can use. Disney doesn’t hire too many astronomers or archaeologists.
Particularly if your family is financially strapped, you shouldn’t get a graduate degree for no particular reason or because you want to study in the U.S. Graduate degrees are supposed to be career preparation for a very specific career; you need to identify what you actually want to get the degree in before you start applying. Beyond that, if you can only apply to 1-2 schools because of finances, it is far better for you to work for a few years and save up the money for application fees while you figure out what you want to do.
When you report your GRE scores, don’t add them - report the sections separately. However, the lowest your scores in one section could be is a 161 (with a 170 in the other), so your GRE scores are fine.
It’s difficult to do the grade conversion in my head - is a 3.3/5.0 basically a C average (equivalent of a 2.3 on a 4.0 scale)? If so, then especially coupled with average recommendations, your chances are…not great. We can’t predict exact chances or tell you what programs to apply to - especially because you didn’t specify what you want to study, and “top 30” means different things in different fields. The top 30 clinical psychology programs are still insanely competitive, whereas the top 30 public health programs vary widely in selectivity. Besides, for academic programs like astronomy and archaeology, you don’t just select schools on rankings - you also picked based upon the research fit and interests you have.
Not at the graduate level, they don’t. But that’s a moot point, because “financial need” is pretty meaningless on the graduate level anyway. Most master’s programs don’t give out need-based aid - you’re expected to cover the cost through loans primarily. Some astronomy master’s programs might offer some funding, but most won’t, and an archaeology master’s is pretty unlikely to have any funding attached to it.