The gap between work permits

Since you have indicated that you are working with an attorney, I suggest you follow your attorney's advice since he/she has presumably had the...

So, is it better to travel to my home country and get my stamping done rather than wait for H4-F1 CoS ?

Yes, this would be much faster than waiting for the H4.

How do I gain residency through my child?

I suggest you contact an immigration attorney for a full discussion regarding your situation and what options may be available to you. Many of us...

No, just submit your federal return. I also suggest you allow an immigration attorney to review your i864 before you file to avoid mistakes that...

Can we get married with his real name knowing he's married under the false name??

Your fiancé will have to divorce his prior spouse before marrying you.

If the case was dismissed can I bring a wife from overseas

Yes, this should not bar you from petitioning for your wife.

Re-Entry on Advanced Parole on a pending criminal case.

How long do you plan on being out of the United States? This may be a factor in whether you get checked for inadmissibility upon your return.

I suggest you inquire with the employer and ask them to release it to you. If they refuse, you may be out of options. Good luck!

Is it possible to adopt a child from India or from USA?

Yes, this shouldn't be an issue. I suggest contacting an attorney experienced in international adoptions.

What am I supposed to do?? Is there any time frame??? can I travel outside the country during pending case ???

There is no exact time frame for those security checks to be cleared.