I wish I had the answers for your questions, Skye. Medical research sounds exciting, but I don't feel very certain for any of the fields you've mentioned. I guess this all is too new for me. But, you're right, It's high time to start exploring all those fields.
Right now I am taking pre-calculus and C++ (It's my first semester in college). I took programming language because most of the schools that have biomedical engineering or bioengineering require some kind of programming course. I'll be also required to take general biology, chemistry and physics courses and a lot of math, which does, of course, include linear algebra, VendingManace, thanks for bringing that up.
Molecular Genetics, Biological Chem and the like all fall in the school of science, which has transfer requirements that are different from those of engineering school. I am looking for a 4 year college that has minor in bioengineering which can be done along with some science major. I would like to take this path, but I am not sure how to combine the prerequisites of these two schools. Any ideas?