Here is the tl;dr from an actual lawyer: the exact same 9 Justices that just voted not to grant cert on this case are not going to magically change their minds on a petition for rehearing on the exact same case 30 days later. Please do not get distracted by this and get your hopes up.

Sending letters is not a thing you are supposed to do to influence a an appellate court or the SCOTUS - in fact, the opposite; the court is supposed to rule based solely on the law as it’s applied to the facts and isn’t supposed to be influenced by public opinion (which is why the are appointed for life), so spamming the court with letters will not have the intended affect. This isn’t like writing your rep in Congress.

Here is the tl;dr from an actual lawyer: the exact same 9 Justices that just voted not to grant cert on this case are not going to magically change their minds on a petition for rehearing on the exact same case 30 days later. Please do not get distracted by this and get your hopes up.