First, ignore NoPop. He is an idiot forum troll with NO legal experience or knowledge.
"Legally, can the fact that the original written agreement is lost help me in any way, shape, or form?"
Answer: No. In fact, if you do not have a copy of the lease, the lack of can hurt your standings. If you have a written lease, and that written lease term has not expired, then you have the right of tenancy for that full lease term.... assuming you are in compliance. However, without a lease, or if your original written lease has expired, you are a month-to-month tenant. And as a MTM, your only tenancy right is to the next 30 days. The landlord can simply give you a 30-day notice to vacate and that would be the end of your 'lease'..... and rights of tenancy.
And this has nothing to do with whether you are in compliance, rent paid, or not. Either party can simply terminate the lease with a simple written 30-day notice.
There are at least 17 lawsuits (!!) filed in various courts, including the US Supreme Court, asking if Obama is a natural born citizen (as req'd by Art II, Sec 1 of the US Constitution).
Why has he spent over $1.7M in legal fees to block disclosure... rather than spend $12 for a VALID birth cert to settle the matter? The 'certificate' he has presented doesn't qualify to get a drivers license, wouldn't allow a child to qualify for Little League, or for a real citizen to get a US passport!