<p>no they will not. Only the school(s) you identify and pay for (if more than 4), will receive the new score. (But, why wouldn't you send higher scores to other places?)</p>
<p>I don't think you should try the 4th attemp for Harvard. Here is what they state in the admission:
"We consider a student's best test scores, but it is generally our experience that taking tests more than twice offers diminishing returns"</p>
<p>However, in general, other schools will not see the new scores unless you resend them.</p>