Yes, each bishop is "pedigreed", infact I believe each receives the laying on of hands by several bishops to ensure proper form.
were they all of apostolic character?.
Don't know what that is.
Gifted apostolically?
If by that you mean endowed with the powers given to the apostles by Christ, yes.
Who did they heal? How many demons did they cast out?
There has been thousands, I haven't been keeping track;)
Maybe I'm too skeptical for my own good, but I would assume we humble humans who never saw Jesus when he was alive would not be qualified. If I remember correctly, having seen Jesus in real life on Earth was a distinct requirement for being called an apostle. And for this reason, Paul always claimed his encounter on the road to Damascus. It seemed good enough for the rest of the apostles.
Bottom line is this, why would Christ only give the twelve the gifts only to have those gifts die with the apostles? It makes no sense.