In municipal (traffic) court, can defense counsel ask their client the factual basis of their charge?

Yes. The factual basis is required for the court to accept the plea.

Court-ordered rehab?

Upon refferal of probation division they would return to court for violation of probation. Whether they go to serve the full sentence in jail...

How long does it take for someone to be arrested after they are indicted ?

The arrest comes before the indictment.

Could I get off of a dwi If I was over 0.08 and the limit is 0.07?

Could you obtain a dismissal, yes. With a borderline reading, many considerations and strategies come into play.

No you will not get a ticket for DWI based on your facts.

Yes. 39:4-56 is a non mover according to a DMV hearing officer.

I was caught doing 89 in a 65 zone. Should I get a lawyer? Should I go without a lawyer since I cannot afford one. ?

You pay one way or the other. Surcharges, insurance ect you actually pay more and for a potentially longer time. License suspension not expected...

The first appearance is called an arraignment. You are advised of the charges and penalties you face by the judge and a not guilty plea will be...

I received a careless driving ticket with my phone being in the front window with a video playing with GPS in back. What do I do

As Mr. Chesser notes there is an applicable lesser offense. As well, as Mr. Aalsberg notes "Video on dashboard" is not a great set of facts for you.

I agree that drugs may be an issue. I fully expect that even with a dismissal the prosecutor will ask DMV to take away his license until a doctor...