if it is aggressive then it will remain so. 

Like to know if I should buy another investment property or pay off the 2 remaining and my home.

Once you increase your budget, go back and remain to the ones you already touched once.

However, if you can find the owner of record, and bargain with the owner to sign over his/her remaining interest in the property to you via a quit claim deed, then you would greatly increase your position in the property against HSBC while also eliminating the need to adversely possess the property. 

for the remaining 465 floors I had considered the following:Wood, oak, first class, natural type.

Another thought,,,IF any of that tile is the old 1 foot square stuff on a concrete floor dry ice will pop it loose the quickest,,,,then use glue remover on the remaining glue.

I may or may not do this right away, I don't want to act like I'm intruding on her, I don't get the vibe that she's doing anything wrong, I think since it's her first time renting, she may have been scared of a new landlord possibly thinking she would be asked to leave or rent raised but I re-assured her that the terms of her lease will remain in full effect. 

Be patient, when they pass you will receive a portion of what is remaining to do with as you please.

things don't work out, she moves out with her 2 kids, and he remains with his child, you know exactly who's in your property.Following your process and being consistent is the best way to avoid trouble!

Lesson I have learned from this is to remain open minded no matter what the circumstance.