Is it illegal for all of management to be close relatives

It isn't illegal for them to hire family members. However, they aren't allowed to fire you just because they found out you're pregnant. Consult...

Can my previous employer tell prospective employers that I left because of a lawsuite against them when no such thing happened?

You may want to speak with an attorney off-line about what steps to take (there are several options, but some are better than others) before taking...

What can I do about a sexual harassment claim at work when it was never addressed by my employer..

You may wish to discuss your case with a licensed AR attorney as soon as possible. There are many issues to discuss, including strategy on how to...

How do I find out if there is anything I can do about her actions towards me?

It would be wise to consult off-line with an attorney, as soon as possible, about this developing scenario. Also, don't quit. Depending upon how...

Texas is an employment-at-will state. You can be fired for any reason, barring certain exceptions (See Title VII, federal laws dealing with...

You may want to speak with an attorney about two possible issues. One you've touched upon, namely disability discrimination. The other possible...

Can a lawsuit be filed if workplace harassment is "general" in nature and not based on race, sex, disability, age, etc.?

Title VII doesn't cover workplace bullying or rudeness (what you described above), so you won't be successful in filing any lawsuit.

If I was to have an attorney assigned to my case, would this speed up the process?

Having an attorney won't speed up the process. Having an attorney deal with EEOC, rather than you dealing with EEOC by yourself, likely will result...

Do I have any recourse in legally challenging HR in their decision to not provide accommodation for my disability?

You appear to be asking for a reasonable accommodation. Speak off-line with a licensed AZ attorney about steps/options to take to obtain such...

Is this sexual harassment or a hostile work environment?

I suggest you contact a licensed OK attorney off-line to discuss the viability, or lack thereof, of this case. Much depends upon additional...