Honestly for this (the Equifax thing), you just keep record of when you sent it—it's only an issue if you litigate, and then I'd expect your record of when you sent it + your testimony would be sufficient. But IANAL, and you should of course talk to one if it matters.
For your HOA, hopefully you have some record of when you sent the request (e.g., you kept a copy of the ARC application with a note that you mailed it on $DATE). (Of course, the HOA should be maintaining records of when applications are received.) Depending on what it is, this is something that may be worth paying for legal advice on.
I've had to use it in the past for creditors who don't have a clue.
Ultimately, I had to resort to sending them letters via certified mail.