I think the WTBTS considers themselves spiritual Israel and they do act like the sanhedrin with their judicial hearings and such .I have heard some dubs claim to speak in toungues , I even heard some that would do animal sacrifices but I don't think that's part of the religion . The exorcism thing is not as played out as the catholic church performs the ritual but they do believe that demons can posses people but do not claim to have authority over demons such as the apostles had since most of them do not claim to have anointing of holy spirit . The partaking of wine and bread at the memorial supper is considered to be something only the 144k in revelation(or those that claim the anointing) can do since they are considered the body of christ and are the only ones deemed worthy. I don't remember reading a specific time mentioned in the NT for fasting so it's really not part of christian theology .They do not observe the jewish sabbath .I don't think missing an occassional meal would hurt most of them since they are probly the fatest people on earth .LOL They seem to believe that bearing witness to jesus inspires prophesy but again that it could only be the remnant of spiritual Israel who could be used in that way . (not that they ever got the end dates right )
The NT mentions shunning in the apostle Paul writings but only under certain circumstances , it's not just an old testament thing .