Hello, Your husband still has epilepsy I am sorry to say. Just because he has not had a seizure in five years does not mean he is now seizure free. He will always run the risk of having them. As for your kids, the quick answer to your question is no. Just because one parent has epilepsy does not mean their children will have it. As for the jerking and twitching while they are a sleep. The only way to check if they are or are not seizures is to have a EEG done.