Do I give up access to transportation, restaurants, cultural activities, doctors, emergency medical care, religious and business activities, vet care and maybe more, to live in the country on my ranch or on the beach in a beautiful country, or do I keep access to all those things and live in the city? 

It also isn't enough proof for a judge in small claims court, if you decided to file on the guest there - you'll need your own rental agreement.

You prob will start off in arbitration and if that does not yield a good result, go to court.

Stop trying to descontruct whether or not she gave proper notice and whether you'll have a leg to stand on in court.  

Also, half of all LLCs get thrown out in court because they aren't managed correctly.

If the seller accepts the offer, (contingent on appraisal[as per court approval requirement]), How should i proceed in the situation.

No excuses other than court cancelling of the eviction (we have encountered that once).  

.), Either a US credit report or credit trade line history in your country of origin, US Entity documents (EIN, Operating Agreement, Articles of Organization,), 2 months bank statements for proof of closing, and 6-12 months reserves on top of closing costs and DP. 

I would imagine the best actions would be to immediately fire the management company, pass the keys onto a new one, sue the old one in small claims court for the listed damages.

would love to understand what needs to happen to invest there as someone from out of country.