They needed more/ updated income as time passed and explanations of how ill be able to cover the cost of the mortgage, i also purchased a multifamily through the 203K. 

If you are found to be negligent, your liability coverage would step in to cover both types of expenses.

I imagine there are less visitors, and some months where expenses aren't fully covered.

Some leaky faucets , slow drains , a broken window , a broken screen door, missing damaged facia , Eve's and saufet .wood decay around front door , a ceiling fan that doesn't work , ac with water filling drain pan , crack in garage ceiling , 1 cracked floor tile, 1 double tapped breaker , and a missing attic inspection cover .

The monthly rent covers my loan, property taxes, yard care and leaves me with a small amount  per month which I save for repairs.

What i would say is look into buying another one with it. 4 units or less and the VA will still cover it.

We're used to covering the closing costs (usually minimal because when seller's call us there's no need for an agent or commissions).So, even when we have a seller who could pay the closing costs, as in example 1 above, we pay the closing costs anyway because they need the extra motivation to say yes to our offer.

Water is covered by tenants on a single family. i've never seen a client pay for that so you can probably eliminate that expense.

USBank did NOT cover outstanding utility, municipal things like sewer and trash or the HOA fees. 

I think that would be the first step and they could advise you as to the best way to qualify for a loan and/or whether or not it makes sense for just your cousin to be on the loan and for you to have a partnership agreement outside of the loan that covers that.