This is a strict liability crime, meaning your intent is irrelevant. Sounds like you violated the law, but you can always try to fight it.

My sister is being used by a Mexican national just to get papers

This is not a good scenario for either of you. Let USCIS do their job.

Work Permit while on J-1 waiver processing

First get an answer on your waiver request, then, if the waiver is approved, file for an adjustment of status. You will be able to work during this...

I am a green card holder through my daughter from previous marriage from and American.

Speak to an attorney. You need to file a petition on their behalf. Entering on a tourist visa is not advisable.

More stress about my case of i-130

This is normal. It takes some time for the NVC to take action on your file.

Any Houston, TX immigration attorneys on here??

All of the above. Be patient. An attorney generally cannot speed up the process.

Can I get a J-1 US visa if my minor in possession case was dismissed?

If the charge was dismissed by the DA, not contingent on you attending any diversionary courses, etc. Then you should be fine.

My H1 visa approved this year I have to start my work from October. I am thinking to postpone my job for 6 months. Is it possi?

Generally, the answer is no. Your H1 is valid only when you start working in October. There are some exceptions. Consult your employer's...

I am trying to find out if it is legal for me to leave the state of NC?

Contact your bail agency and review the terms of your release. You may need the court's permission.

Unfortunately, a dog can establish reasonable suspicion.