Can I get some sort of document to travel outside the USA ?

Review religious worker...

If you have an A number or one of your family has or had one, then complete it on the form.

What happens during a divorce?

You can take your child, but your husband has to agree. Typically airlines require a letter from the parent that is not present giving consent for...

Can we stay in US if we cross 240 days after filing extension?

Yes, you are in status as long as your extension is pending.

What the visa says doesn't matter, what matters is what the DS2019 says. This mistake happens all the time. No need to "correct it" just travel...

In the section "information about my residence" in N400, Should I mention about short term stay?

Yes, include them, there is no downside to disclosing this information.

If a person sponsors an employee for a PERM visa, can it affect them later filing for a marriage visa with a different person?

What do you mean a different person? PERM is based on an employment offer from an employer, marriage is based on sponsorship by USCitizen. If you...

Can i wait my green card out of united states?

You need an approved advance parole before you can leave the US or your adjustment will be considered abandoned. Also, USCIS is scheduling...

I am applying for a job in Seattle, Washington. I want to know what to expect in background verification mainlyin employer check

Usually employers call previous employers to verify employment. They may do an online search for you as well in addition to a basic background...

Am an US citizen, how can I bring my own unmarried adult brother to US?

Yes, that is the best way, assuming your father actually resides in the US when he sponsors him.