How much it costs to apply for TBS for Yemen person ? who long it takes ?

I highly recommend that you consult with an immigration attorney

My wife immigrated to United States and left me. She is waiting for her green card.

You should write a letter to uscis and notify them of what's going on. Unfortunately there is nothing you can do now

You should go and consult with an immigration attorney

Which category of family sponsored prefernes the USCIS will consider my little son?

Once you file the I130 uscis will send you a receipt notice and on it will have the catagory

Where should I start to do immigration documents if I'm a victim of domestic violence?

You should immediately consult with an immigration attorney. You should not do this on your own

Can I apply for a waiver ? and how much time does it take

Since you were issued a removal order did you leave the United States

Do I qualify for N-600 Certificate of Citizenship?

You did not give all the details. It's hard to give you an answer. You should take your papers and consult with an immigration attorney

My I94 is valid till October. But my EAD card will be expired in Mid Feb. My i485 is still pending. Can i stay?

May I asked who is petitioning for you?

Can I apply for naturalization prior to removal of conditions on permanent residency?

No you cannot file for citizenship now. You must wait until your case is approved. If your extension will expire soon make an infopass and uscis...

Can i expedite my case

If you have an attorney handling this case for you you should consult with him or her. But asylum cases do take long.