The best way to avoid future problems is to leave when you are supposed to.

Yes your US citizen wife can file an I-130 for you. There are a few other steps to getting your permanent residency. Talk with a lawyer.

You must include proof you are a US citizen. Use your passport and also submit a request under the freedom of information act (FOIA) to USCIS to...

I have a green card almost five years with in 5 year I went to my country 3 time total date 365 can I apply for naturalization

You can still apply for citizenship. Follow the instructions on the application or hire an attorney.

Do I need any kind of paper work signed by my husband if I am traveling from USA to Israel with our 4 year old son?

You should have a signed permission letter from your husband.

After how long time can I get my green card.

The time it takes is entirely up to the adjudicating officer. You can schedule an InfoPass or call the ombudsman if you wish.

H1B recapture

No you cannot recapture those lost days because of the length of time that has gone by.

My lawyer filed for daca and work permit back on 11/29/13. Why is it taking that long? got my bio metrics on jan 23 14 .

Your application is being considered. It can take anywhere from a few months to a year. Be patient.

What can be done in my situation?

You will need an in person consultation. The fact that you were married when you entered the US put you in a different category as the adult child...

Does my wife need to submit a I-751 if we are leaving the country for 3 years on company business?

Yes she should file the I-751. However, she may also be eligible for citizenship now. Consult with your attorney.