I will like to know the next step after form i 130 is approved while in the states( post decision activity)

Sounds like the process is over. You should receive a green card in the mail.

Yes it will but you will have lwgal status while your application is pending.

When should I apply for the citizen ship test If I have a record?

As soon as you meet the ekigiblity requirements. You cannot apply until five years after your conviction.

Just got married and want to bring wife to US with me while I study (F1)

She needed to file for an F-2 and consular process. Follow instructions on affidavit of aupport to be filed later.

How long does administrative process take? How does it work? (US f1 visa)

Once your application is in administrative processing, its impossible to know when or if your visa will be granted.

Driving while license revoked what are the fines for first time

License suspension. Consult a local criminal defense attorney for the specifics.

Is it legal for children and youth to force some one out of their home if a person has a past record.

This question is confusing issues of asking someone to leave from property they have no right to be on, and issues of child visitation and custody.

What am I looking at

You are looking at needing to hire an attorney.

Arrested under a false DV charge by my partner to evict me without due process. Can this person be charged/penalized?

Yes, if he/she made a false statement and you can prove it.

My probation date was September 4th can I still be tested after

Yes, until you are probation officially terminates.