"guilty" or "not guilty" for speeding, when the cop said show up to court and the judge drops speeding tickets to parking,

You have to plead guilty in order to show up and get the reduced offer, if that is what the judge ultimately does.

Arrested in ny on 13 B felony drug charges that took place 11/2011, can they wait 11 months to arrest?

Utilize the attorney provided by the court. There are options, potentially including drug treatment. There are also potential defenses.

I have never had a drivers license in any state, I got a DUI about 9 or 10 years ago in arkansas, I now reside in Illinois.

You need to contact the DMV in the original state to check it's status and then cleare any suspension there. If no suspension, you should be able...

In '10 I got a DUI. I have a lawyer, but so far no trial. Is there an amount of time before the "has" to go to trial.?

No--there is no specific time period. It all depends on how the case is proceeding and what your lawyer is trying to do.

This is an immigration question but generally no.

The DMV is independent of the Court so it is possible. Normally, the DMV will honor what the Court did!

Was arrested in April for DWI. Offered bargain to reduce to reckless driving. Will new employers see DWI on background check?

Unfortunately, it is unknown. It depends on the check done by the employer.

What is your question? My advice--hire an attorney immediately

Arrested,fingerprinted on felony charged. dropped to violoation need employment fingerprints will it show live in new york

It depends on how thorough the search is. It should not show but there are no other guarantees!

Will I have any problem when try to re enter to USA if I have a dismissed misdemeanor charge? I am not U.S. Citizen

This is an immigration question and i added that category. No one can say for certain what ICE will do even with a dismissal.