You would benefit from a private consult as its not possible to competently advise without more information and reviewing tbe denial notice.

Coming back to US with expired green card and i797 NOA extension from PERU (COPA Airlines)

You are fine, bring an extension letter with you when traveling to be safe

How many years does a green card holder (by marriage to a US citizen) will need to wait before applying for citizenship?

3 yrs when married to U.S. citizen and 5 yrs if no longer married (and can apply 90 days prior to the 3 and 5 years respectively).

Can i get connected with an immigration Attorney on skype. ?

Most of us use skype to talk to clients around the world. You need to do your own due diligence though and select an attorney best suited for you.

Can they denied my application for nuturaization with out sending a letter of deniel?

You hired and paid an attorney, why not just ask him/her to follow up with you so you know where you stand.

I am on H-1B visa and thinking of changing my employer. When I apply I am asked is Do you require sponsorship now or in future?

An employer would be more upset for dishonestry. As you require sponsorship answer the Q truthfully.

I field my asylum in Chicago feb 2017, when do you think I will get my interview letter?

You filed before Jan of 2018 or when asylum cases are fast-tracked. Another year to year- and-a-half.

Can My Husband apply for his second wife for a citizenship ?

You got divorced in U.S.Thats what matters.

Need an immigration autorny in UT?

You need to do the due-diligence/leg work yourself.

Will I be barred from applying for AOS & all future green card applications?

You shouldn’t have a problem, you were smart in departing so not to continue accruing unlawful presence