If I had $X,XXX/month to spend.

How I would present an offer in this situation is to tell them, you would be better off to fix up the property to current expectations and market it with a  realtor, however, we can offer $xxx in its present condition.Then see what happens...

"My client is interested in a property at XXX and the records show that the lender is the owner."

Run an ad with photos of the existing interior and exterior, along with your asking price saying "will be available on xxx date."

“I have a consistent income of $XXX, my net worth is about $XXX, my liquidity is $XXX, and I’m looking to buy a property in the $XXX range.”

So have your agent send them the RCE and that typically satisfies what they're looking for.Also, I was advised by a friend who is a loan officer that usually, if you receive a letter stating "your loan is xxx and your insurance is for xxx and that may not be enough", it's typically a suggestion, and not a demand.

I saw that it once appraised for $180,xxx and I purchased it for $112,XXX.

We plan to put something in the lease to the effect of "your rent includes a $XXX credit for utilities, if utilities consistently are above the credit then the rent will be adjusted accordingly".

Also, the PA always includes security deposits in XXX amount, and prorated rents, are to be handed over at closing. 

It goes something like this:Job Transfer In the event that the Tenant, from the commencement date hereof, be transferred from the city of XXX as a direct requirement of their current employer, provided that the Tenant is not in default of any of the provisions of this lease, the Tenant may obtain cancellation of this lease upon the following:By providing the Landlord with written proof of the transfer.By providing the Landlord with at least two month’s written notice of the Tenant’s intention to vacate.By paying rent equal to three months from the date of notice; the remaining term of the lease if less than three months, or until a suitable alternative tenant is found by the landlord.I think that is the gist of it if I remember right.