Can I renew my green card if its expired with in a year?

An attorney needs more information to answer you questions. For example, is your card valid for 2 years or 10 years initially? If 10 years, then...

How can I find proof of my first entry/departure into the US from 30 years ago?

You could do a freedom of information action request to search for your entry records. Alternatively, you could work with an attorney to prepare an...

I made an infopass appointment for N- 400 inquiry (PD (/21/2016) and was told that my case is in name check.

If more than a year passes, you might consider meeting with an attorney about this.

AOS for K1

In St. Louis, many K-1 adjustment of status applications are being interviewed.

Possibly. But not a bad idea to check with your attorney that you have not done or conditions in your country have not changed that could lead to...

I am a US citizen from Myanmar. I want to bring my wife here. How long is the wait time?

Currently about a year from filing the initial visa applications and your wife goes to her visa interview.

How can marry my boyfriend who is a illegal immigrant. ?

A lot depends on how your boyfriend entered the country if you also want to get him legal immigration status.

How can I make my mother a Permanent resident?

A lot depends on your mother's immigration history before she received TPS. Unfortunately, just because you turn 21 and are a citizen does not...

Application for B1 visa

Talk to a lawyer about a non-immigrant waiver.

I just become an US citizen, if to apply my parents immigrate to US, how much financial support do I need to prepare each year?

You can see the minimum income requirements here. https://www.uscis.gov/i-864p