Yes, those interests are logical taking into account your background. Good luck with the LACEA membership and with your apps!
About cutoffs, I'm sorry I couldn't find info for UC Berkeley, but UCLA's graduate econ site:
http://www.econ.ucla.edu/grad/
Look for the Admissions link. There you will see this:
"the Department considers only those with excellent academic records, GRE scores that average in the 80th percentile in verbal, 95 percentile in quantitative, and with a 5.0 in analytical, and those with outstanding letters of recommendation. TOEFL scores must be at least 260."
And I recall that I had read somewhere that the whole UC system had the 5.0
AWA cutoff, but don't take my word (I don't want to mislead you), contact the grad advisor!