What are your cost constraints? If you have not talked to your parents about what they will contribute, do so now before you make your application list. Be sure to run net price calculators on each school web site to get financial aid estimates. If not affordable, you will need to build a merit-seeking application list.
Some engineering majors at UCs may be significantly more selective than the general level of selectivity of those campuses. Apply widely to UCs, rather than just UCB, UCLA, and UCSD; if you apply to several of the other UCs, it is hard to imagine being rejected at all of them.
Your CSU eligibility index can be calculated by (UC/CSU GPA) * 200 + ACT * 10 as described athttps://secure.csumentor.edu/planning/highschool/eligindex_calculator.asp . It looks like yours is likely to be over 1100. SJSU’s past thresholds by major are listed at http://info.sjsu.edu/static/admission/impaction.html . Although thresholds can change as application volume and strength change, it appears that SJSU is an almost-safety (not 100% assured, but very hard to imagine a scenario where the threshold will be higher than your eligibility index).
Washington will likely be expensive for you as a non-Washington resident. Also, all engineering majors are highly impacted there. The school does admit some students undeclared if they are not directly admitted to the major, but entering an engineering major later is highly competitive, requiring a high college GPA.