Ok, it's recommended that you remove your betta to another tank, as unneccessarily medicating the cories could be dangerous to them. Anything that holds about a gallon will do, add the salt like you have and find some good quality broad spectrum or fin rot specific medication. Keep his water warm!
When Jerry got fin rot, I was on school camp so it was awful when I got back. I did 50% daily water changes using salt and Wardley's Promethyasul and I did that for a week and a half. It cleared up fine.
Good luck, and I hope your boy recovers!