Yes so long as the visa is currently available and you are maintaining your status. If all of those apply you should be fine. However, I would be...

Gathering immigration

Yes his brother can file a petition but to be able to adjust here in the United states he has to maintain his status. A petition from a sibling...

Does getting caught entering at the border without inspection classify as being under "immigration proceedings" for an I-130?

You will need to talk to your dad but I don't think he was in proceedings. Unless he was in front of an immigration judge the answer is likely no....

Are there any immigration lawyer can take my case with NOID issuance and separated with spouse?

Right here in Lewisville. It is possible to win this as long as you are telling the truth to USCIS and your marriage was bona fide. But you need...

Before they can approve the N-400 the shoplifting charge must be taken care of. If at all possible you should try to get the case dismissed. If...