How long it takes to get interview date?

Except If she is from Mexico, India or China, you're looking at about a year for most countries. You really should consult with an immigration...

I got us citizen in 2011. my brother is in india age 32 y,married one baby (3 yr).can i sponsor to my brother

Sure, if you wouldn't mind waiting 15 some odd years.

Injury in the gym

Depends. Negligence depends a lot on the facts. Call a personal injury attorney. Many offer free consultations.

I-134 for F1 visa, sponsor green card holder and applicant's fiance, relationship to sponsor

The truth as Mr. Segal correctly pointed out. Seek the assistance and advice of immigration counsel.

If I am buying a house and have signed a contract to buy a house from a seller and my mortgage loan has been approved.

You'll need to speak with an attorney about this but you may be able to cancel the contract or obtain a modification of the purchase price. Good luck!

As an LPR and single parent, I have been outside the US for 7 months waiting for my daughter's interview at the US Embassy .....

Who's the petitioner? And why is it that you are being required to present anything more than your green card to demonstrate lawful permanent...

How long do I need to wait to apply for citizenship after the day I got married to an US citizen?

Consult with an immigration attorney because If you're anxious to leave the country or get your citizenship, you may not want any deficiencies or...

Consult with an immigration attorney, many of us use Skype. You'll need at least a consultation to understand what is required by DV winners.

Can a Green card holder and his overstayer wife establish their residence in a US territory just like a citizen?

I would speak privately with an immigration attorney. I wouldn't risk travel to PR if that is indeed your question.

N-400 pending , I-130 pending, spouse and stepchild in Italy

Attorney Segal is correct. Hire an attorney to ensure the process is done properly especially if you have a low tolerance for delay.