Rented for about $1250/month at the time. 

One month of vacancy will cost you $2,600 + $200 utilities.

Now, this tenant is saying that they don't remember any agreement and thought they paid month to month and could leave whenever.

For forming an LLC in Wyoming, consider these registered agents:Northwest Registered Agent – Excellent service and pricing.IncFile – Competitive pricing and solid customer support.Wyoming Registered Agent – Specializes in Wyoming LLCs.Compare their pricing and reviews to find the best fit for you.

Had excellent success self-managing as an Airbnb in the winter months and switching to a mid-term rental the summer months.

The guest suggested re-visiting this list every three months, or "quarterly".I know that I heard of the idea on a (recent?)

Seasoning for conventional loans is 12 months, but DSCR is really competitive right now and YMMV on seasoning for those.

I know there are services that provide proof of funds but I view that as misrepresentation. 

Quote from @Christina Venegas: is it possible to do HELOC on a primary home that was purchased 6 months ago with 5% of down payment, the property was $145k and it was appraised at that time for $160k. i need advice from investors and lenders, if anybody knows some lenders that could help me I would really appreciate it, thanks for taking your time to respondIt’s definitely possible to get a HELOC on a primary home, but most lenders have a seasoning periods which are typically 6-12 months after purchase before they’ll allow it.

These typically include services like renters insurance, HVAC filter delivery, pest control, and sometimes utility management.