Deported eventhough my dad is American ?

You should have hired an immigration lawyer then. I suggest that you consult with a good immigration lawyer now and see if your dad can repetition...

Am I entitled to any of my husband's settlement?

You may consult with a family lawyer locally. It generally depends on if your state accepts common law marriages.

I just got my case number from NVC and it stated that "scan documents" and I wish to mail my documents, can I mail it out?

Yes, you may mail your packet but it would be quicker if you email it and you may save the postage.

Can I fight to stop the PD from bringing my mom to Fort Worth?

I am not certain if i understood your meaning. Please repost and give more details

Yes very much so. You can not do around minors.

Is a divorce in one country automatically accepted in another country?

yes it is possible as long as the divorce and marriage is recognized in the country of origin.

When a conditional resident unintentionally abandons their status, is the sponsor informed to finalize the I-864 obligation?

The sponsorship will continue until the alien has worked in US for 40 quarters or die or alien becomes a citizen.

Form I864- Suppliment A?

You need a joint sponsor as your income may not count.

Is working as a grant writer for a Valet parking service company in Los Angeles would make me eligible for O1 visa?

Its possible but there are other factors. Make an appointment with an immigration lawyer near you.

Interview I-485 is 3 months before second anniversary, I should get the 2 years GC but is there any chance get 10 years one ?

No, you have to wait 90 days before the two years is up and file a removal of condition. It is possible the officer grants you a 10-year green card...