If you were found not guilty, if the charges were dismissed (other than for complying with a first-offender disposition) or the Commonwealth dropped the charges without a trial, you may be able to have the charges expunged. If you were convicted or if you pleaded guilty or "no contest" and stipulated that facts would be sufficient for conviction, and then completed the first-offense deferred disposition, you may not have the records expunged. You should get a copy of the final order in each case and schedule an appointment with a local attorney to determine what if anything can be done.
Expungement is the process where any notation of your arrest or citation is removed from the records. Virginia does not allow for record expungement except in very narrow circumstances and is limited "to those that are truly innocent" such as those that were found not guilty, had the charge nolle prossed or "dropped" or had their identity stolen or assumed by another. If you were convicted, your only route for relief is a pardon from the governor.