Is getting naturalization a possibility for a girl who's been in the US for 16 years?

You do not say how long she has had her green card. Assuming her parents are not citizens, she can probably file.

You cannot speed up the H4 so the drivers license suffers the same fate.

Should I list my arrest one again, if Department of Homeland is asking me to fill out form I-751?

Not starting over but is all inclusive. Just answer the question and move on.

Switching employer when I have only 3 months left on H1B

You can switch to a new employer provided they file timely and recapture the priority date.

Can my husband put me out of the house?

First visit with a safe haven in your area and protect yourself and child. Then contact a legal aid group and discuss a restraining order and...

If someone wins a green card lottery from abroad how much time does he have to come to US

Yes he can come to the US months later.

I have my biometric appointment (fingerprint) in a few days, is it necessary for the petitioner to be with me that day?

No it is not necessary for the petitioner to be there.

I-130 for my wife; filling out G-325a

Yes it must be an original signature. Have her pull it up on line, sign it, and mail it to you.

My waiver was approved!!! (Form 601A) how do I go about scheduling my interview? what do I need to bring with me?

File the DS260, I864, and pay the fees.

Is it ok to submit new sponsor and supporting docs while replying to an RFE?

It is important to provide all the proof you have that responds to the RFE. A new sponsor responds favorably.