I refusd tourist visa from 2 years a go but i dont mention that in my ds 260is big deal or not

It is a very big deal. If the information was relevant then willful concealment will lead to immigration fraud.

What is required to be naturalized?

For Citizenship - You must be physically present in the United States for at least 30 months out of the 5 years immediately preceding the date of...

I am temporarily living overseas, I have green card and have my Re-entry permit. How should I file my tax return 2013?

You can file it as non-resident. Consult a CPA for the late filing.

With temporary permanent residency if I join the military, can I apply for citizenship and how long will it take?

Only certain components of National Guard are eligible to naturalize through their Military Service. For Peace Time - The requirements to...

I don't see any problem in it. They both are your signatures.

Approved for asylum in 06, Applied for my green card in 08 the case was freeze, want to close the case apply through marriage

consult an Attorney to close the old case.

Can i enter previous company h1b visa validity 31 Dec 2014 with the new i797 copy of new employer h1b validity jan 2017

1. The Immigration officer will give you a new date ( Duration of Stay) on the port of entry. The Duration of stay is different from the validity...

Staying 1 week after decision, will create problem for out reentry in US? 1 week is from decision date or notice receive date?

The facts are not enough to answer this properly. But in General over stay is always a problem for non-immigrant visas.

H1-B Job Change related questions,

for H-1 benching is not allowed. Yes there can be two types of salaries depending on the workload.

Can I activate my H1 later on after moving back to H4?

Yes you can. It is not very easy to do but it is possible.