They've selected the tenant and are (allegedly) monitoring the property, so they're usually best suited for the job.

., assume fewer things are OK and be more cautious about possible issues).Besides the overall state of the market, which has taken more buyers out of the market and thus shifted more power to buyers vs. sellers, also look at that specific property, specifically its time on market and listing history.If it was listed 6 months ago, didn't sell, and was relisted 2 months ago and has already been on market 50+ days before your offer was accepted, I'd think you'd be in a stronger position to make more asks from the inspection results, than if this was the first time it was listed and it's only been 3 DOM, and especially if there were multiple offers (though sometimes those are made-up so I'd give more weight to DOM than alleged other offers).

lol, I only know of one real estate investor in Portugal.Ex-Fox News, Fox29 host Clayton Morris leaves country amid N.J. lawsuits over alleged Ponzi schemeEx-Fox & Friends host Clayton Morris seeks $7 million from critic of Indy real estate deals

-Meth problems, I had a subcontractor under my GC go ballistic, show up at a job site after he was fired, high on meth, making paranoid allegations at everyone.

Providing a receipt is a good way to combat an allegation that you inflated the costs. 

That said, given the Buyer's alleged cash capacity it would seem that the risk to both of you is manageable.  

A lessor of residential real property, containing 5 or more units, who has received a security deposit from a lessee to secure the payment of rent or to compensate for damage to the leased property may not withhold any part of that deposit as compensation for property damage unless he has, within 30 days of the date that the lessee vacated the premises, furnished to the lessee, delivered in person, by mail directed to his last known address, or by electronic mail to a verified electronic mail address provided by the lessee, an itemized statement of the damage allegedly caused to the premises and the estimated or actual cost for repairing or replacing each item on that statement, attaching the paid receipts, or copies thereof, for the repair or replacement.

Will the property appreciate in value so that the house will have equity - and would a bank even recognize the alleged equity?

I’m wanting to know as a landlord how to better protect yourself and your investment being that there really is no gain in a rental property unless the rent payment is received and you don’t have malicious tenants try to avoid paying rent, or affect you in a way to rob you from that income like in faulty allegations or habitability issues that then need an attorney or going to court.I have heard of wise landlords using a guarantor service that pays the rent if the tenant stops paying for whatever reason.  

Do you know what the car looked like the day before this alleged leak?