Joshua Heard's Advice

When you say "our management company" are you referring to someone representing you?  If so, they may be liable for negligence.  If it was a company representing the buyer, you can void the lease for fraud.  You should also look at the lease which typically includes of list of home features such as AC.  If it is in the lease, you have a case for fraud.

Zillow uses public records for its information.  You should check with your local tax appraiser as that is where Zillow likely got its information.  Have the tax appraiser change the square footage and the change will likely appear on Zillow.

Anything to do with real estate must be in writing or it is not valid.  So, oral representations are not part of any contract.  Likewise, the MLS listing text is not part of the agreement.The issue is how did you transfer ownership to the bank?  That document will control ownership of the appliances.  Since a fridge and washer are not "fixtures", they would not normally be transferred as part of the real property.  They would have to be listed in the transfer document between you and the bank.  If they are not, they are yours to keep.If the bank sold the appliances to the new owner without owning them, it is the bank's problem, not yours.

You can go to a title company website (for instance First American Title) and for a small fee find out who the owner of the property is.  If you are not dealing with the owner, it could be a scam.  I can tell you that I live abroad and have several rental properties in the US.  I have a property manager and real estate agent. If you are not dealing with one of these, it is probably a scam, or at best, an unresponsive future landlord.  Finally, I would never rent or buy something without seeing the inside first.

There's nothing stopping the foreclosee from purchasing the foreclosing house at auction.

Everything is negotiable. If you don't like their terms, just say no or walk.

Small claims court.

It all depends on the terms of the contract.  From what you say, yes you will have the pay the commission per contract.  However, if he did make a misrepresentation, you can void the contract.

In Texas, we are required to get a separate professional termite inspection, a regular home inspector isn't qualified.  Next time hire a professional termite inspector.  Also, subterranean termites are very common, so don't freak out.  Termites are only a problem if they eat the wood framing, or create such a large burrow they undermine the foundation. 

The tenant does not get extra rights under the lease, but the lease does become voidable, and the court can modify terms of the lease as it seems fit.