Since the DV charge is an enumerated offense you cannot get it sealed even though adjudication was withheld. I would suggest contacting an attorney to see if you could potentially withdraw your initial plea.
A "Withhold" is a special sentence in which the judge orders probation but does not formally convict the defendant. Florida Statute §948.01 vests Florida judges with the authority to withhold adjudication for defendants charged with minor offense who are not likely to engage in criminal conduct again.. A withhold of adjudication is not a conviction; therefore, you avoided the negative consequences that could result from a criminal conviction such as the loss of certain civil rights.
When law enforcement and the state investigate they often get only one side of the story. The biggest problem I see as a criminal defense attorney is when other lawyers do not act proactive in a case an get to the state with their evidence and your side of the story before the state proceeds. Just because you are arrested for a crime does not mean that the state will proceed against you on thoe charges, Often times a god attorney will get to the prosecutor before they file and provide them...
Generally no, however it will depend on the conditions of your probation. You should contact your PO and ask them. IF your probation officer says you are requiring you to work and you can show proof of enrollment in school you can file a motion to modify your probation deleting full time employment as a condition of your supervision.
If the probation officer checks your driving history or recent court activity they will see that you received the ticket. While on probation you are required to report any contact with Law Enforcement to your PO. If you do not report this you could be violated.
The inability for the state to identify you as the person who committed the crime is an absolute defense. Moreover, if the officers arrested you based on a mistaken identity you may be able to challenge your initial arrest based on lack of probable cause prior to trial.