Because you case is in the court it is better to use lawyer's help.

You can file I-130 for your mom, and your brother can be on her petition as a dependent. Because she is already here you can file simultaneously...

If you still are living together then you can file for naturalization after 3 years of having your green card.

Just list all names that you ever used.

You can explain that you had your traffic tickets at the interview.

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You can certainly file Form I-130 for your brother. However, you need to understand that the immigrant visa in the category F4 is very limited....

Your dad can alert ICE at any time regardless of your actions. Good luck!

There is a list of grounds of inadmissibility. (1) Health-related grounds (2) Criminal Grounds (3) Security and related grounds (4) Public...

You need to give USCIS at least 12 month since they have received the court order.

Looks that they are not criminal in nature so they will not impact your oath ceremony. Good luck!