You can do that but it won’t help you but would help the prosecutor, who can correct the oversight until the trial has started

No. It isn’t a moving violation. Just pay it

In Sangamon County you don’t have to “motion up” anything. The clerk will send you a notice of a new court date. Show up then.

What consequences will I have for speed ticket 29 over ?

In theory jail but unlikely. However if you are convicted you will have a criminal record.

Does a speeding ticket (15 over ) go on a record automatically unless I choose supervision option or fight it in court ?

yes if you plead or are found guilty it will be a conviction on your record.

Cook county drug deffered procecution program (DDPP) was I supposed to schedule my assessme?

If I were a judge I would be asking you, what is it about this that you didn't understand? You must call within 24 hours of your first court...

It's not actually a hearing. You are going to a consultation with an informal hearing officer. For your situation a lawyer is probably not needed...

Did they confiscate fake ID? Thats one year.

My auto insurance denied a claim of the 3rd party about the accident and now 3rd party files a lawsuit against me? What to do?

Yes. Your insurance refused to pay the other driver. Now you are sued. Turn it over to your agent. The insurance company will pay for your lawyer...

In theory you could. If this is your first offense and you have a clean record it’s not a sure thing that you will.