Expired License Plate
If your vehicle did not have proper license plates or if the license plates were expired, then your vehicle should not have been on the roadway and could have been towed during that traffic stop. The officer exercised discretion and issued you a citation. Should you elect to drive again without having proper license plates, then you are continuing to violate the law. The citation itself is not a 'pass' to continue driving with the expired plate and so yes, you could potentially be stopped again for the same violation and yes, you could be issued another citation, or have your vehicle towed altogether.
I'm not sure what you mean by having this removed from your record. Are you referring to your history of involvements with the City of Fort Wayne Police or are you referring to your Bureau of Motor Vehicle records? Either way, I do not believe that would be possible. We (FWPD) generally do not remove any incidents or involvements that a person is associated with in our database, and we have no control over the practices of the BMV. I hope that answers your question.
You should know that it is a very common excuse or reason that people give for having an expired license plate - they forget to renew their registration. We see this more often with individuals who have moved and have failed to notify the BMV of their new address and so they do not receive the renewal notices in the mail. Fortunately for you, the officer only issued you a citation. In some instances, where the license plate has been expired for some time, it is better to have those vehicles towed that way the owner is forced to properly register and plate the vehicle, and provide proof of or obtain financial responsibility (automobile insurance) for the vehicle.