Yes. You can be fined for the same thing. I remember a person was parked illegally next to a stop sign and they received like 4 tickets. It was pretty messed up.
No you should not be written up again for the missing front license plate within 24 hours of the same ticket but you can be written up several times on traffic violations on the same day at different time and place. You can even dispute if you had a parking ticket violation already and about to drive off and get another ticket again before driving out of that place