I do highly recommend that you verify the residency requirements for UC campuses. It appears that you would not be a resident for tuition purposes.
As other commenters said, CS is a highly selective major. You will need to demonstrate a significant STEM background.
At Harvey Mudd, the admissions are extremely selective—in line with MIT and Caltech. I’m glad you are interested in it and know that it’s a reach school. Honestly, HMC expects very impressive, STEM-related extracurriculars. In addition, more than one third of the incoming class is a valedictorian or salutatorian. I’m not telling you not to apply, but know that admissions is not on the likelier side. If it is your top choice though, do consider applying ED. It’s worth a visit to Claremont to see it. You could fly into LAX and drive an hour east.
Carnegie Mellon likewise has very competitive admissions. You would apply directly to the School of Computer Science. It has a 7% acceptance rate, with mid-range SAT scores of 1500–1570. You would be substantially below the 25th percentile of admitted students.
Cornell has a mid-range SAT of 1490–1550, so again, you would be below the 25th percentile.
UCLA is more likely than these other schools, but you would probably be evaluated relative to out-of-state applicants, so it is again highly competitive.
I think you have a very good chance of getting into Cal Poly San Luis Obispo, but it’s certainly not guaranteed. This would be a target school.
I think you would be a competitive applicant to NYU. You would also be competitive for UC San Diego, although it is becoming more selective.
I agree that you should try to raise your SAT score by > 50 points. Your GPA and academic record are a bit of a weak spot in your profile, but what is your class rank?
For CS, I would recommend taking a computer science class, ideally something college-level, perhaps at a nearby college or AP Computer Science A. You should also work on STEM-focused extracurriculars. It’s not just doing things like Math Club, but also involving yourself in competitions and recreational math or tutoring/teaching math, etc.
Are you able to apply as a student athlete? Have you looked at athletic recruitment?
In what field is your Kaiser internship?
I think being a female interested in STEM gives your chances a modest boost, but has it actually impacted you seriously in a negative way? What is your race and ethnicity?
I would recommend other UC campuses, University of Oregon, Rensselaer Polytechnic Institute (RPI), Worcester Polytechnic Institute (WPI), Rochester Institute of Technology (RIT), Georgia Institute of Technology (Georgia Tech), Boston College (BC), and Boston University (BU).