no. there is absolutely no required SEC "paperwork" for a PR. and the SEC plays no role in reviewing PRs prior to issuance (or even after, unless there's a problem with it being false or misleading).
if you are SEC registered, your only decision is whether publishing the PR alone is sufficient disclosure for Reg FD purposes or whether it's also advisable to file a Form 8-K. Companies not registered with the SEC don't even have that issue.