Will there be any problem in US citizenship?

Maybe. There is not enough information to provide a better answer. You need to speak with a lawyer.

As of green card holder was told as I arrived at JFK airport I have a week to leave the country because Iwas outside over year

That is definitely not accurate. Speak with a lawyer.

Does I subpoena have to come certified mail? I was told today I have to appear in court on Monday? My job is upset?

I agree with the answer provided by Mr. Cheser. Technically, they could issue a warrant for you if you don't go to court. Practically, I don' think...

You do not need legal advice. YOu need to hire a lawyer.

What happened to my AOS case ?

Nothing has happened. Have patience. It's a slow process.

As long as she does not have any bars to admission and has already abandoned her residence, yes you can petition for her again.

Can some one get his green card back after over staying ?

Some lawyers have better ideas than others. You haven't described enough detail to determine if your father has a good case for an SB1 or not....

What is best way to reinstate an expired green cards for an entire family?

Your question is not clear as to where you are currently located. IF you are in the US, you are still permanent residents. IF you are in Lebanon,...

Can I file for my citizenship ?

You can file in May 2021 if you are still married to and living with your husband. Otherwise, you'd have to wait until May 2023

N-400 supporting documents

It sounds like you would be wasting your money by applying for citizenship.