Welcome to the forum Riff. I'm sure you'll find plenty of Betta info in the Betta specific section of the forum. Don't be afraid to ask questions. There us usually someone out there willing to answer.
I agree that Riff Raff is probably a Crowntail (CT - get used to the abbreviations, they are used a fair bit on here) if he has had a bad case of rot to the point he lost his ray extensions, odds are they won't grow back. He looks healthy and happy now though. You can see the new growth in his tail.
Eddie looks to be a halfmoon (HM), meaning that at full spread, his tail spread is 180 degrees or more. He is a nice looking copper dragon, as is Magenta :)