Got a checklist how long for nvc to review

It depends. About 2 to four months.

Status changed from F1 to Green Card. Going back home to visist

You can travel for less than a year so long as you do not abandon your residency here in the US.

What are the chances of approving i601

She will likely be denied again, and it depends what was in the invitation letter and how it was fraudulent, e.g. did she claim she was a US citizen?

My brother is filling out D S 260 visa application online, what he can put for given names and Surnames for him and for his son

Put as many names as you can fill on the form, or select his first name, middle name, and last name.

Do I need a lawyer to help us?

If he was ordered removed, he is subject to a ten year bar.

You should consult an immigration attorney and file a motion to re-open.

Can undocumented students go to another acceptable US state that allows undocumented students to attend college there?

Generally, you can attend college anywhere in the US. Some schools require that you be in valid status. Others only require that you show you can...

Permanent resident status

Generally, their main concern is for American Citizens, however, there is an interest in keeping permanent residents safe as well.

Will immigration reform pass this year if not than what will happen

It is unknown whether immigration reforms will be passed this year.

If for eg my I485 receipt number is msc123, and there is msc 124 and msc125 would msc123 get interview date before msc124

It doesnt matter what number they assign to the application. If you submitted it correctly, you will hear from them when appropriate.