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I am sorry to hear about this situation. So this is a "yes and no" answer.
DRIVING WITHOUT A LICENSE
All one wants to do is to show up to the first hearing and show a copy of the license. The vast majority of prosecutors should drop the charge once they are satisfied that the license was valid at time of the ticket.
This is different. While the above may be dropped (and likely would be), the speeding is not so easily dismissed simply because one was licensed.
If this case gets to trial, the prosecutor is likely to call the officer who will make an appearance and explain what he feels happened. He may or may not bring his dashboard camera tape that can also show what happened, if there is one. Normally, the Judge (or Jury, if you have a jury trial) takes the word of an officer over the Defendant.
The prosecutor is normally very backed up. They are handling literally dozens of cases at once. Setting a matter for trial - jury trial, more so - is a serious issue since they have little time to prepare, file the proper motions, and generally make room for the trial to happen.
Very often, individuals in your situation are given a "plea deal," if they have little/no traffic record. This may include a deferral of the guilty plea, reduction to non-moving violation, etc. Provided one has no serious traffic history, this is likely an option.
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