Seizures aren’t typical symptoms of an allergic reaction. There may be something else causing the seizures, flashing lights can trigger seizures in some people. See your doctor for a proper evaluation, likely an EEG, and possibly further tests to diagnose the issue.
If you had a seizure, and you haven't previously had seizures and been diagnosed with a condition that causes seizures, you should see a doctor ASAP. Could it be the rum? Maybe, but that's not generally the only sign of an allergic reaction, so it's doubtful that the brand of rum is the cause of your seizure.