Since you just moved from California, you should also consider Cal State University campuses, since your GPA and SAT are well below UC standards. That will at least give you some backup campuses where you might still be able to qualify for in-state residency tuition rates. You might find that some Cal States have very well respected programs in many subjects. For example, you listed the ModelUN as one of your interests. CSU San Bernardino is consistently one of the top universities at the National Model UN and Arab League Conferences.
http://newsletter.csbs.csusb.edu/May2011/modelun.html You should also classify the campuses you've applied to based on your chances of getting accepted, such as unlikely/reach, a reasonable chance, and safe backups. I can tell you right now that UC schools and USC are unlikely. Don't be fooled into thinking that your weighted GPA will matter as much as your unweighted GPA. Most UC applicants have weighted GPA's well above 4.0 and unweighted GPA's close to 4.0, along with high SAT/ACT scores and many AP classes. Even the least selective UC, UC Riverside, has an average freshman profile with a 3.67 unweighted GPA and over 1700 SAT. UCLA's averages are 3.85 GPA and over 2000 SAT, along with high SAT subject tests. They also have a highly diverse pool of applicants, so don't think that will get you admitted. It's very possible that you could be rejected by all the schools you've applied for, if they are all in the unlikely/reach category. That's why you should include a selection of safe and reasonable chance schools.
You could also reduce the number of schools you're applying to by researching them in more detail. Applying to more schools doesn't necessarily increase your chances, but it does cost a lot of money in application fees. It's ok to want to go to your top choices, however it's important to have more likely schools in the mix so that you'll still have a number of acceptance letters to make you feel better if the top schools reject you. Even students with much better GPA and SAT scores will get rejected from many of those highly selective schools because they simply have a small number of slots available relative to the number of applicants.
If you really are motivated to go to a particular school, then you could also consider going to a community college for several years, completing all the transfer requirements with a very high GPA, and then transfer as an upper-division student. That way your HS GPA and SAT scores won't matter at all and you get to start with a clean academic record. You could also establish in-state residency during that period of study, which could save a tremendous amount of money by avoiding out-of-state tuition rates. The diploma you eventually get will be exactly the same whether you were at the University for 2 or 4 years, and nobody cares if you transferred from a community college. Many university give priority to community college students with high GPAs because they've proven themselves capable of doing college work, while freshmen haven't.