SAT... Retake?

I am a junior and I just got my SAT scores back. The results are as follows:
CR: 700 Math: 790 Writing: 780 (80 MC, 8 essay) for a total of 2,270.
I believe I can definitely improve my CR score, especially because 3 of the 6 I got wrong were from vocab. Math and writing I feel may be a little harder to improve. I am hoping to apply to several ivy league schools and other top schools so I was wondering how score choice works. Say I retake and get a 2200 with 750 CR, 740 Math, 710 Writing. If the school I apply to has score choice, do they only see 750 CR, 790 Math, and 780 writing, or do they see everything? And is it worth it to improve the Critical reading but possibly not improve in the other sections or do worse? Thanks for any feedback.