Welcome to allnurses.com
The question you need to be asking yourself is: Do I want to be a doctor or do I want to be a nurse? Either is fine, but you should try to figure that out.
It doesn't make sense to get a degree in nursing if you know you want to be a doctor, as you would be taking that spot away from another qualified applicant that really wants to be a nurse (there are more qualified applicants than nursing spots available in the US)
Are there some nurses that become doctors? Absolutely (though the large majority of them have a few years of experience working as a nurse). Can you take all the pre-med requirements while obtaining a nursing degree? Yes, but you'll likely have to take a 5th year of college (where there is little funding from federal grants/loans). Moreover, if you immediately go from a nursing degree to medical school, many medical schools will ask why you chose to get a nursing degree if you don't intend to do it which is a tough question to answer and justify since there are only a limited number of nursing spots available.
An alternative might be to become a Neonatal Nurse Practitioner, which is classified as a midlevel provider. NNPs will round with a neonatologist (or not, depending on the facility) and perform invasive procedures like a neo, attend high-risk deliveries, etc etc. A NNP requires 4 years of nursing school, 2 years a NICU nurse, and then 1-2 years of school for NNP. Medical school requires 4 years of a bachelor's degree, 4 years of medical school, 3 years of a pediatric residency, and 3 years as a neonatal fellowship.
In some units, NNPs pretty much run the show and the neos are there for back-up. In other large academic centers (like children's hospitals), the NNP presents cases to the neo and follows recommendation, although the NNP adds their own input just like anywhere else.
My suggestion is to shadow in a NICU and figure out what you might like to do. You're young, you have plenty of time to make a decision. Good luck!
edit: as an aside, the "sister" site to allnurses.com (although considerably less tactful
) is forums.studentdoctor.net there is a forum there specifically for high school students that you can check out. They may talk to you about being a Physician Assistant as another midlevel provider choice, but I would not recommend that for NICU as PA's have little knowledge when coming into a NICU and are rarely hired except in large academic centers.