Finding an attorney as well as writing a letter to the judge about the whole story, do I need to send demands to the DA now?

Do not make demands or write letters to judges. Just retain an attorney or have one assigned if you can't afford one.

You will get a bill in the mail with the amount due.

How should I plea/contest (by mail or court) for a “disobeyed traffic device” ticket if a fee is not indicated on the ticket?

The fine is up to the judge. The maximum fine is $243. This can get reduced to a no point violation that will not appear on your record. An...

You can pay it without a hearing. Read the yellow ticket in detail.

I was stopped at a red light and was calling my doctor to let him know I was looking for a parking spot.

If you can prove it was an emergency you can get it dismissed. But you shouldn't received ticket anyway if you only used phone while stationary at...

What happens for, failure to appear a traffic ticket in a different state, what happens

He will most likely get suspended in New York. New Yorkers can't ignore out of state traffic tickets.

Can you get a traffic summons dismissed if the officer wrote someone else's address on it?

Does not warrant automatic dismissal but will help. A traffic ticket attorney can go to court instead of you to fight the ticket.

Sometimes tickets never enter the system and sometimes they take a long time to enter the system. Can't dismiss a ticket if it does not exist!

Not concerned about "arrest date". It does not go on a criminal record. I am however concerned about what happened here. You were speeding, you did...

What should I do?

Hire a local attorney whose primary area of practice is traffic ticket defense.