Why I haven't receive letter of Naturalization Oath ?

Since itnhas been over the regulatory 120 days you can in addition to making an infopass to go to the local office, you can speak tonan experienced...

She is not required to use her married name on application but whatever name she uses on application she must also put the other name in the box...

N400 processing times

I would giess between October and the end of the yesr would be normal.

What needs to be done after the 10 yean ban period of re-entry to the U.S. Is over? Is form I-601 always required?

After 10 years abroad you dont need a waiver. You can apply for i-130 before 10 years is up so that when it is up you wont have to wait for filing...

Been waiting for an Oath ceremony appointment for more than 3 months, is that normal for NYC office?

It can take up to 120 days. After that (6/1/2018) you can either make an infopass appt or file a mandamus action in Federal Court.

Section 245(i) in i-485

The answer is no since you entered legally and married a Citizen

Does USCIS expedite this case under sever or extreme humanitarian or emergency, crisis?! :( in what criteria is this case?

Are you a US Citizen? If so, have her go to US Embassy and file for a comsular report of a birth abroad for your daughter and then get daughter...

How's the processing time for Diversity Visa based Adjustment of Status? Nobody answers me in USCIS! Not sure where my case is!?

Calling USCIS - you know more than some of the people answering those phones. You need to make an infopass appt and go into the local office to...

For imigration

Several more months. Probably another 6 months or more

Should I continue to pay rent? What are my rights?

Not an immigration law question. I have re-routed to landlord tenant.