Master's in Psychology or Ph.D. in Neuroscience
This is worrisome, as the distinction between these two things is extremely large.
Not meaning to be offensive, just completely honest. If you don't have a solid background (not just courses, but research experience) in molecular and cell biology, statistics, and/or chemistry then you have no basis for seeking to pursue a Ph.D. in neuroscience in any respectable program. Even someone with good grades and a degree in psychology without neuroscience-related research experience would also likely not make it into a reputable neuroscience Ph.D. program -- these things are not the same. The admissions committee would be about as interested in your journalism courses as they would be in the fact that you took piano lessons as a kid. I'm not saying humanities fields are unimportant or less difficult, I'm just saying it's not considered relevant experience to encourage a committee to believe you'd be a good candidate for a doctoral program.
If this is your goal, I would think about getting a bachelors degree in one of the above fields while contributing hours in a laboratory gaining experience in that field, because otherwise you have nothing to offer a Ph.D. admissions committee in neuroscience.
As for psychology, that's a different ball game, and I don't know enough about that field to comment on it.
I appreciate your honesty! Very helpful.