I am interested in making an offer on a house that is a bank owned property in a suburb of Austin, Tx, but it's full of problems

There's no way to know. Depending on the merits of the case, it could take anywhere from a few months to a few years (though probably not).

I am behind in my rent and my landlord keeps padlocing my door. I have told here that I am going to bring my balance forward

I don't know TX law, but generally speaking, no, self help is not legal. She cannot lock you out - she has to go through the eviction process.

We live in a townhouse and since we moved in we had to fill out paperwork saying what was wrong with the house.. well the back

If the house was in this condition when you moved in, you basically accepted that it was this way. If, on the other hand, something has happened...

Is it legal for a rental company to require, as part of a lease, that all payments be made via a draft system whereby I have to

I don't see why not, if you have agreed to it... I would just never agree to that.

My deed grants an easement "for ingress and egress across the existing road" to a single owner.

You should talk to a local real estate attorney. This is going to be more than a simple web answer.

How if possible can I break a contract with APX Alarms doe to the fact that I've been put on a limited income and can't afford

Read your contract. It will detail acceptable reasons for breaking the contract.

How should one respond to the first letter from the foreclosure Attorney.....30 days in which to dispute the debt??????????? are

Do you have a legitimate reason to dispute the debt? If you really want to try and hang on to the house you should contact a local real estate...

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What reourse do I have if Landlord wants to break lease?

You seem to know the options... barring language to the contrary in the lease, she can't simply force you out. You can leave willingly, or you can...

How can we make sure the underwater owners have cleared their liens with the title com 6 days before closing? The sellers'

Never, ever do a property transfer without an attorney involved. He can handle the title work and protect your interests.

My job is moving me over 100miles away, I am renting an apartment and in a lease until October 1. How can I get out and..

Yes, everything you have mentioned is legal, normally (I am not a NH attorney). There are special circumstances which may make one or the other of...