With 10 interviews the odds would say that you should get one or more acceptances. Perhaps that is different for California residents, but usually it is the case.
In your situation, I would suspect that you either did not do so well in the interviews (even though you are doubting that) or there is something bad in one of your letters. It's always possible that the problem was something else (like a weaker personal statement, or that on repeated/further inspection of your application they didn't think you had enough volunteer hours or a good rationale to pursue medicine, etc.) but my money is on bad intervies and/or something bad in one of the letters.
I notice in the post above that you seemed kind of defensive...not sure why you wanted to attack the person who suggested throwing out one or more of your letters...that would have been my first advice as well, given you had posted above that you felt two of them were "weak". I was in a similar situation to yours years ago, and ended up throwing out one of my LOR's and going and getting another one from a different science professor. It's possible that even though the two science profs agreed to write you a LOR, one or more of them was not strong. As you mentioned, if you didn't spend much time with them, they may have not felt compelled to write something strong, and/or may not have known you well enough to write a good letter. Some people also just suck at writing letters of rec, and/or they aren't familiar with what med school admissions committees would want to see in such a letter. It sucks that your school is not more helpful in regards to picking out the stronger LOR's.
I agree with trying mock interviews, and if you can get some med students or physicians who have worked on admissions committees to read your application, that wouldn't hurt. Sometimes it is hard to find such people, though.
I think if you are still in undergrad, you have a potential fix for getting a better science LOR, which is to take another science class and really kiss up to the professor. I know it sucks, but sometimes you have to play these games. I also didn't require much help in science classes and thus didn't spend much time with professors, which probably was a mistake as I ran into the same situation as you did. If you are not still in undergrad, you might want to think hard and see if there are any other professor(s) whose science classes you aced who you could maybe go back and ask for an LOR from them. I would just be up front with them, explain that although they may not remember you well, you loved their class, did well, etc. and you are going through this med school admissions process and you still lack/need one more science professor LOR, and would they be willing to write a strong letter, etc. Some people are just better writers than others, and some letters will just have more power (i.e. usually full professor trumps associate professor, unless the lower down prof. just knows you a lot better, etc. - some adcoms like to see LOR's from someone who has taught a lot of premeds and is thus in a postion to evaluate you vs. other med school bound students).
Also, sometimes people just have bad luck. If that was your first time applying, I would just reapply, in the interim doing whatever you can to improve your application (practice interviewing, get more clinical volunteer hours perhaps, etc.).
I also agree w/above comments that your MCAT score is pretty good, but perhaps not too competitive for an out of state student applying to state med schools. Generally people who get into state schools as out of staters have crazy numbers, just because the adcoms have to set the bar so high usually b/c they aren't allowed to take many out of staters.
If you're from California, apply to a lot of private schools, like St. Louis U. Rosalind Franklin, George Washington U, etc.