A DUI and driving on suspended license is not enough to make your removable. It could be problematic if applying for naturalization. There is case law out there saying a DUI does not affect moral character determination, but you would need an immigration attorney to argue that point in an interview. The repeated violations might cause you problems for naturalization. Are you married to a US citizen for over 3 years? If so, you can reduce the statutory good moral character period from 5 years to...
I would think that the time for you to respond to the RFE has expired. Normally they give you a maximum of 90 days. Your question is confusing though. You filed a petition for your mother in June 2013 and it got approved, but you received an RFE for the case. What was the RFE for? An I-485? An I-601A? What?
I think your case is likely too complicated to handle over Avvo. You should consult an immigration attorney.
A DUI by itself does not result in removal or inadmissibility. The other two crimes cannot be the basis of new immigration court proceedings. Your friend needs to cool it though. An LPR is only eligible for cancellation of removal ONCE, so if he keeps getting in trouble, he'll get deported.
For a ten year green card, you must have been married for at least two years on the day the green card is approved. You can apply for adjustment of status in about 9 or 10 months and you'll probably have your interview after the 2 year mark.
If you can't get the case dismissed outright, the big issue is what charges/plea do you accept. Immigration law consequences vary with each penal code section, so you need an attorney that understands the immigration law consequences that result from each criminal charge.
If you married within a month of arriving, yes, you will have some problems with pre-conceived intent. Being pregnant at the time of entry further suggests you intended to stay in the US when you arrived on the tourist visa. Get an attorney.
Your son can file the I-130 for you, and it sounds like you're eligible to adjust status. However, more information is needed. You should consult with an immigration attorney to make sure there are no red flags or other issues that could arise.
The wait thus far is not unusual. I have a couple of VAWA approved cases from around that time and they have not yet been transferred to the local office for the I-485 interview. Don't stress yet. Wait a few more months.
Who's the US citizen? Who's the alien? If the alien committed these offenses, there may be problems. Get a lawyer.
If the US citizen committed these crimes, you're probably okay as long as the Adam Walsh Act is not implicated. See a lawyer to fully understand the consequences.