Pre-med is elite-or-bust, although your parents are exaggerating in seeing 3.77 GPA as “bust”. See https://www.aamc.org/download/321508/data/factstablea23.pdf for an idea of how GPA and MCAT score relate to medical school admissions.
Note that no specific major is required to do pre-med.
The career center may help you with both pre-med planning and planning for careers that do not involve medical school:
http://career.berkeley.edu/Medical/Medical
http://career.berkeley.edu/Info/Students
http://career.berkeley.edu/Survey/Survey
http://career.berkeley.edu/Survey/2016Majors