I've heard the same things (I'm chem but still) about the GRE, that it is perhaps the least important factor when you have research experience, strong personal statements, and great LORs. But it can still be worrisome and I'm guilty of fretting over mine too.
Whether you submit these scores depends on the programs to which you are applying. Across the board, the sciences place more emphasis on the quantitative section (at least that is what I've heard from faculty and other students; whether you want to believe this is up to you!). Moreover, because your AW also went up, it shows an improvement in a score that is supposed to reflect how you reason and can present an argument. Both quantitative skills and reasoning are more important, I think, than verbal reasoning. Does your application reflect that Spanish is your first language? (All of my apps asked about language skills.) To me, the jumps from 48th to 60th and 38th to 80th are much more significant than the drop in the verbal. Therefore, I would say that because you have improvement (especially below 50th to above) in the most important or interesting aspects of the GRE, submit!
Also, in hopes of alleviating some stress... I scored low (below 35th percentile) on my GRE subject test for chem, but I still got (unofficially, hurry up official letter!) accepted to Caltech. Evidence that the GREs can't be that important when you have strengths like research and LORs.
Good luck!!