As a green card holder with a first simple DWI charge (0.11 bac), would I have problems re-entering the US If I travel abroad?

No. One DUI will not be a grounds of inadmissibility for you as a returning LPR. Worse case is they will stop you and ask about the case....

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Do my brother have a case?

I think by agreeing to go on the Maury Show automatically puts your brother "out in public" in a manner that would arguably strip your brother of...

I-130 Direct Consular Filing House hold size

Before I can answer the household question, I would need to know for certain what your current custody status is with your minor children. However,...