I’m confused. Why can’t you major in biology at St. John’s? Why are the resources at that school inadequate for you?
Is this about wanting to go to a school that is a better fit or about St. John’s being too expensive for you and your family? If St. John’s is too expensive now, why wasn’t it too expensive when you first attended there? Surely, if your parents want you to stay in this school, they have the means to pay for it. If you and your family can’t afford it (or you and your family don’t want to take on loans because you’re planning on going to medical school in the future, which is perfectly understandable), then that’s a different situation entirely, and you should be focusing on finding schools that would be financially do-able (and remember that aid for transfer students is often poorer than aid for freshmen). That’s a very different question than trying to find a school with a lot of resources for premed and biology students.
What are your parents not supportive of? Switching schools or switching majors? If you switch schools, how will you pay for it if your parents are not willing to help you?