Calling @Gumbymom for all things UC.
Because there is a huge difference between your grades in your freshman year and the rest, it is difficult to figure out your chances. I would guess that it depends on how much weight a college puts of freshman grades. So at the UCs, which do not consider freshman grades, you will do well.
I also have a question, and a few comments.
and
If you had to take care of you elderly relative, even though you were only a teen and in high school, that would tell me that your family could not afford to pay somebody to do so. So how can there be no cost constraints?
The highest capped UC GPA is 4.40. If your GPA during 11th grade was 3.92, then your maximum capped GPA would be lower than that.
If you are in California, every Honors course is considered for weighting, so if you took almost every Honors course, you should have weighted GPAs for Freshman and Sophomore years.
Looking at your GPAs, I think that your overall GPA should be higher than 3.73. Unless your class load in your Freshman year was higher than that in the other two years, it definitely should be higher.