I really really tried to have a VBAC with my youngest. It just wasn't going to happen, inducement and all. My boys are healthy as horses.
My oldest was induced and like you it wasn't going to happen. His heart rate dropped to 4 and they said sign here. I was ready at that point. The youngest was born in a matter of hours. Both rarely get sick and when they do it is minor.
They both do have one drug allergy. The oldest is allergic to penicillin as is my husband and the youngest is allergic to septra as am I. Like I said, genetics.