The only thing that would threaten their cash flow abilities would be if my local economy suddenly flopped, and no one wanted to live there anymore.

No major injuries but both cars totaled. 3rd party learns who actually owns car, threatens to sue.

Let's also say for instance her delinquent thug of a grandson comes over and visits frequently, with a group of his "friends" and eventually threatens the life of one of your other tenants, leading to many phone calls, police visits and filing reports, etc.

She was already threatening legal action on my PM.

The PM still threaten me that the tenant will sue me.  

It's been a month since then, I'm not sure what to do next, do I threaten to evict him, or do I charge some kind of fee for each dog per month?

Threaten termination but realistically this Seller is never going to get his ask price. 

I have family who live in Central Austin, and they receive letters weekly by companies threatening them and trying to scam them out of their houses.

My manager presented him the five day notice and now he is threatening to sue. 

You will Have to get to the US based offices of Ocwen, not the overseas people you will initially be dealing with, and it may require some payment to them to make this happen...they are not legally bound to give you this release, regardless of how much you paid the owner, since they have a valid mtg.You May have to threaten/file an action against the seller to motivate them to cooperate, if they gave you a full Warranty Deed.If the mtg now with Ocwen was placed After you bought the property, and recorded the deed, it is Not valid.