This law school sample resume has a separate section for publications. Since you mentioned your resume is lacking and publications are a good soft, I would make it a separate section. http://hls.harvard.edu/content/uploads/2008/11/golitely-resume.pdf
You have an awesome GPA and a nice soft with the Fulbright. If you want T14 you'll need to retake. With a high enough score you have great chances at every T14.
Imagine how high you can score this time around if you put 100% effort in?
Let's say you take again and get a 173... Harvard/Yale/Stanford might ding you for the 7 takes, but everyone else will probably still take you, assuming the rest of your application is good.