Take ControlDon’t let others dictate to you what you must do or not do.

Home values and rent prices dictate the “Class”.

One could a priori BRRRR “high cash flow” properties under whichever ARV is dictated for them by the market.

I would drop the price to $600-$625 and keep the $25 application fee.The neighborhood dictates the rent price, not the landlord and not the "niceness" of the unit compared to its immediate neighbors. 

Also, best practice dictates discouraging clients from selling directly to a buyer or heaven forbid somebody who thinks they can makes a few bucks working a price gap.

Now, I'm not asking WHY you want to assume the loan...so depending on what you are trying to accomplish there might be better methods of doing it...but if you did want to, the note itself would dictate if this is possible.

The contract can stipulate the title company split the proceeds as agreed to by the parties, unless a court order dictates otherwise.

The listing agent shouldn't be dictating what your offer price will be, and especially not what your contingencies or the timeframe to close will be.

State laws set unlawful detainer laws but policy is dictated at the very local level. 

When you're a value customer, you can dictate some terms with your lender.