Ciprofloxacin, no where in the world, is permitted to be given to children under the age of 12 years. The use of this drug for throat infection was scientifically not correct and unnecessarily exposed the child to side effects, some of them quite serious. It is true that one of the side effects of ciprofloxacin is convulsions but they generally occur when the drug is being given.
Seizures can occur at any time and the fact that in the case of your daughter they ocurred at the same time is purely accidental.
Medication will need to be continued for some years and then gradually withdrawn. You should be mentally prepared for a three-year span initially.
Tegrital-CR is the controlled (slow) release formulation while Tegrital is the immediate release product. Otherwise there is no difference. The name of the medicine is carbamazepine. Tegrital is the brand name.