Can a Certificate of Deposit be issued with three names: ie: John Doe; POD Jane and Jim Doe?

Yes, it can. Furthermore, the POD individuals will not even have to be present at the application. At most, have their basic info; ss#'s, address, phone, etc.

Yes, and it can be owned in various forms or percent of ownerships depending on how listed, the bank should ( if they can't find another bank) explain all of this too you.